Regular polytopes with up to 4000 flags (ordered by the number of flags for each rank) ...................................................................................... Below is a complete list of all abstract regular polytopes with up to 4000 flags, up to isomorphism and duality, excluding those of rank 2 (regular polygons) and the degenerate examples that have a '2' in their Schlaefli symbol. The list is ordered first by rank, and then within each rank (from 2 to 6) by the number of flags, and then by Coxeter type (Schlaefli symbol). Also each entry in the list indicates whether the polytope is self-dual ('SD'), or otherwise non-self-dual ('NSD'). If the polytope is not self-dual, then its dual does not appear elsewhere in the list. Finally, in each case some defining relations are given for the automorphism group of the polytope, in terms of the Coxeter generators. If the rank is n, then the generators are A.1, A.2, ..., A.n, which are involutions having the property that (A.i*A.j)^2 = [A.i,A.j] = 1 whenever the subscripts i and j differ by more than 1, with the order of A.{j-1}*A.j being the jth number in the Coxeter type (Schlaefli symbol). This list was created by finding and analysing all normal subgroups of index up to 4000 in the relevant Coxeter groups, with the help of the MAGMA system. Marston Conder March 2013 Rank 3 ...... Regular 3-polytope with group of order 24 SD Type [ 3, 3 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^3 ] Regular 3-polytope with group of order 24 NSD Type [ 3, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 32 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4 ] Regular 3-polytope with group of order 36 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 48 NSD Type [ 3, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^4 ] Regular 3-polytope with group of order 48 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 48 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 48 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 48 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 60 NSD Type [ 3, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 60 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^5, (A.3 * A.2)^5 ] Regular 3-polytope with group of order 64 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 64 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 64 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 72 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3 ] Regular 3-polytope with group of order 72 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 72 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 72 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 72 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 80 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 96 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 96 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 96 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 96 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 96 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 96 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 96 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 96 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 100 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 108 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 108 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 108 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 112 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 120 NSD Type [ 3, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^5 ] Regular 3-polytope with group of order 120 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 120 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 120 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 120 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 120 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 120 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, (A.3 * A.2 * A.1 * A.2)^3 ] Regular 3-polytope with group of order 120 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 120 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 120 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 120 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 120 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^5 ] Regular 3-polytope with group of order 120 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 120 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 128 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 128 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 128 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 128 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 128 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 128 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 128 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 128 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 144 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 144 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 144 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 144 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 144 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 144 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 144 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 144 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 144 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 144 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6 ] Regular 3-polytope with group of order 144 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 144 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 160 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 160 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 160 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 160 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 168 NSD Type [ 4, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 168 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 176 NSD Type [ 4, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 180 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 192 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 192 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 192 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 192 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 192 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^3 ] Regular 3-polytope with group of order 192 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 192 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 192 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 192 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 192 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 192 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 192 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 192 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 196 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7 ] Regular 3-polytope with group of order 200 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 200 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 200 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 200 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 208 NSD Type [ 4, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 216 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 4, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 216 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 216 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 216 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 216 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 224 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 224 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 240 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 240 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 240 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 240 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6 ] Regular 3-polytope with group of order 240 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 240 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 240 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 240 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 240 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 240 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 240 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 252 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 256 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 256 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 256 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 256 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 256 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 264 NSD Type [ 4, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 264 NSD Type [ 6, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 272 NSD Type [ 4, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 280 NSD Type [ 10, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 288 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 288 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 288 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 288 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 288 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 288 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 288 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 288 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 288 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 288 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 288 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 288 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 288 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 300 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 300 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 300 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 300 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 304 NSD Type [ 4, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 312 NSD Type [ 4, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 312 NSD Type [ 6, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 320 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 320 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 320 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 320 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 320 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 320 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 320 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 320 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 320 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 320 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 320 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 320 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 320 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 320 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 324 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 324 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 324 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 324 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 336 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 336 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.2)^7 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 336 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 336 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^7 ] Regular 3-polytope with group of order 336 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 336 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 336 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 336 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 336 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 336 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 336 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 352 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 352 NSD Type [ 8, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 360 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 360 NSD Type [ 3, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 360 NSD Type [ 4, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 360 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 360 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 360 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 360 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 360 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 360 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 360 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 368 NSD Type [ 4, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 384 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 384 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^8 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 384 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 384 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 384 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 384 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 392 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^7 ] Regular 3-polytope with group of order 392 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 392 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 392 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 396 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 400 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 400 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 400 NSD Type [ 4, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 408 NSD Type [ 4, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 408 NSD Type [ 6, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 416 NSD Type [ 4, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 416 NSD Type [ 8, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 432 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 432 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 432 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 432 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 432 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 432 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 440 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 448 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 448 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 448 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 448 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 448 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 448 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 456 NSD Type [ 4, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 456 NSD Type [ 6, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 464 NSD Type [ 4, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 468 NSD Type [ 6, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 480 NSD Type [ 3, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 480 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 480 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 480 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 480 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 480 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 480 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 480 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 480 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 484 NSD Type [ 11, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^11 ] Regular 3-polytope with group of order 496 NSD Type [ 4, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 500 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 500 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 500 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 504 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 504 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 504 NSD Type [ 4, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 504 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 504 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 504 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 504 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 504 NSD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 504 NSD Type [ 7, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 504 NSD Type [ 7, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 504 NSD Type [ 7, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^7, (A.3 * A.2)^9, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 504 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 504 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 512 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 512 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 512 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 512 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 512 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 512 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 512 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 512 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 512 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 512 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 512 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 512 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 512 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 520 NSD Type [ 10, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 528 NSD Type [ 4, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 528 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 528 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 528 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 528 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 528 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 528 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 528 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 540 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 540 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 540 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 544 NSD Type [ 4, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 544 NSD Type [ 8, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 552 NSD Type [ 4, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 552 NSD Type [ 6, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 560 NSD Type [ 4, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 560 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 560 NSD Type [ 14, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 576 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 576 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 576 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 576 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 576 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 576 NSD Type [ 16, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 588 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 588 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 588 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 588 NSD Type [ 14, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 592 NSD Type [ 4, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 600 NSD Type [ 4, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 600 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 600 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 600 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 600 NSD Type [ 5, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 600 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 600 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 600 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 600 NSD Type [ 6, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 600 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 600 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 608 NSD Type [ 4, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 608 NSD Type [ 8, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 612 NSD Type [ 6, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 616 NSD Type [ 14, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 624 NSD Type [ 4, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 624 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 624 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 624 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 624 NSD Type [ 6, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 624 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 624 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 624 NSD Type [ 12, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 640 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 640 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 640 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 640 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 640 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 640 NSD Type [ 10, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 640 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 640 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 648 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 648 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 648 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^9 ] Regular 3-polytope with group of order 648 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 648 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 648 NSD Type [ 4, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 648 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 648 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 648 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 648 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 648 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1)^9, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 648 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 648 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 648 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 648 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 656 NSD Type [ 4, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 660 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 660 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 660 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 672 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 672 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 672 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 672 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, (A.2 * A.3)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 672 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 672 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 672 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 672 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 672 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 672 NSD Type [ 12, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 672 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 672 NSD Type [ 14, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 676 NSD Type [ 13, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^13 ] Regular 3-polytope with group of order 680 NSD Type [ 10, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 684 NSD Type [ 6, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 688 NSD Type [ 4, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 696 NSD Type [ 4, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^87 ] Regular 3-polytope with group of order 696 NSD Type [ 6, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 700 NSD Type [ 10, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 704 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 704 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 704 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 704 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 704 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 704 NSD Type [ 16, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 720 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 720 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 720 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 720 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 720 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 720 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 720 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 720 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 720 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 720 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 720 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 720 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 720 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 720 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 720 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 720 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 720 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 720 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 728 NSD Type [ 14, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 736 NSD Type [ 4, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 736 NSD Type [ 8, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 744 NSD Type [ 4, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^93 ] Regular 3-polytope with group of order 744 NSD Type [ 6, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 752 NSD Type [ 4, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 756 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 756 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 756 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 760 NSD Type [ 10, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 768 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 768 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 768 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 6, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 768 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 768 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 768 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 768 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 768 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 768 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 784 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 784 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 784 NSD Type [ 4, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 784 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 784 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 784 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 784 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 784 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 784 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 792 NSD Type [ 4, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^99 ] Regular 3-polytope with group of order 792 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 792 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 792 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 792 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 792 NSD Type [ 18, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 800 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 800 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 800 NSD Type [ 4, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 800 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 800 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 800 NSD Type [ 8, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 800 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 800 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 800 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 800 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 800 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 816 NSD Type [ 4, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 816 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 816 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 816 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 816 NSD Type [ 6, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 816 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 816 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 816 NSD Type [ 12, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 828 NSD Type [ 6, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 832 NSD Type [ 4, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 832 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 832 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 832 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 832 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 832 NSD Type [ 16, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 840 NSD Type [ 4, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 840 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 840 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 840 NSD Type [ 10, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 840 NSD Type [ 10, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 840 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 840 NSD Type [ 14, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 848 NSD Type [ 4, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 864 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 864 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 864 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 864 NSD Type [ 8, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 864 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 864 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 864 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 864 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 864 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 864 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 864 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 864 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 880 NSD Type [ 4, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 880 NSD Type [ 10, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 880 NSD Type [ 20, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 888 NSD Type [ 4, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^111 ] Regular 3-polytope with group of order 888 NSD Type [ 6, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 896 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 896 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 896 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 896 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 896 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 896 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 896 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 896 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 896 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 896 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 896 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 896 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 896 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 896 NSD Type [ 14, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 896 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 896 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 900 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 900 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 900 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 900 NSD Type [ 6, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 900 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 900 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 900 NSD Type [ 10, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 900 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 912 NSD Type [ 4, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 912 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 912 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 912 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 912 NSD Type [ 6, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 912 NSD Type [ 6, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 912 NSD Type [ 6, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 912 NSD Type [ 12, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 920 NSD Type [ 10, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 928 NSD Type [ 4, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 928 NSD Type [ 8, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 936 NSD Type [ 4, 117 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^117 ] Regular 3-polytope with group of order 936 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 936 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 936 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 936 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 936 NSD Type [ 18, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 944 NSD Type [ 4, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 952 NSD Type [ 14, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 960 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 960 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 960 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 960 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 960 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 960 NSD Type [ 16, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 960 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 960 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 968 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^11 ] Regular 3-polytope with group of order 968 NSD Type [ 4, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 968 NSD Type [ 22, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^22 ] Regular 3-polytope with group of order 968 SD Type [ 22, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 972 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 972 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 6, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 972 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 972 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 972 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 972 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 972 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 972 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 976 NSD Type [ 4, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 980 NSD Type [ 14, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 984 NSD Type [ 4, 123 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^123 ] Regular 3-polytope with group of order 984 NSD Type [ 6, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 992 NSD Type [ 4, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 992 NSD Type [ 8, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 1000 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1000 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1000 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1000 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 3, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 4, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 1008 NSD Type [ 4, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 1008 NSD Type [ 4, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 4, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1008 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^7, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 1008 NSD Type [ 12, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 1008 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1008 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1008 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1008 NSD Type [ 14, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1008 NSD Type [ 18, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1008 NSD Type [ 18, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1024 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 4, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 1024 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1024 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1024 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1024 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1032 NSD Type [ 4, 129 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^129 ] Regular 3-polytope with group of order 1032 NSD Type [ 6, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 1040 NSD Type [ 4, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 1040 NSD Type [ 10, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1040 NSD Type [ 20, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 1044 NSD Type [ 6, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^87 ] Regular 3-polytope with group of order 1056 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 1056 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1056 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 1056 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 1056 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1056 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1056 NSD Type [ 6, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 1056 NSD Type [ 8, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 1056 NSD Type [ 8, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 1056 NSD Type [ 12, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1056 NSD Type [ 12, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1056 NSD Type [ 22, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1064 NSD Type [ 14, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1072 NSD Type [ 4, 134 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^134 ] Regular 3-polytope with group of order 1080 NSD Type [ 4, 135 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^135 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 1080 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 1080 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1080 NSD Type [ 10, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1080 NSD Type [ 10, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1080 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1080 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1088 NSD Type [ 4, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 1088 NSD Type [ 4, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1088 NSD Type [ 4, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 1088 NSD Type [ 8, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 1088 NSD Type [ 8, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 1088 NSD Type [ 16, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1092 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1092 NSD Type [ 3, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2)^13, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1092 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1092 NSD Type [ 6, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1092 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1092 NSD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1092 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1092 NSD Type [ 7, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1092 NSD Type [ 7, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.3 * A.2)^13, (A.3 * A.2 * A.1 * A.2)^7 ] Regular 3-polytope with group of order 1092 NSD Type [ 7, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1092 SD Type [ 13, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1100 NSD Type [ 10, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^55 ] Regular 3-polytope with group of order 1104 NSD Type [ 4, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 1104 NSD Type [ 4, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 1104 NSD Type [ 4, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1104 NSD Type [ 4, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 1104 NSD Type [ 6, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1104 NSD Type [ 6, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1104 NSD Type [ 6, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 1104 NSD Type [ 12, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 1116 NSD Type [ 6, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^93 ] Regular 3-polytope with group of order 1120 NSD Type [ 4, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 1120 NSD Type [ 4, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 1120 NSD Type [ 8, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 1120 NSD Type [ 10, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1120 NSD Type [ 14, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1120 NSD Type [ 20, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1128 NSD Type [ 4, 141 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^141 ] Regular 3-polytope with group of order 1128 NSD Type [ 6, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 1136 NSD Type [ 4, 142 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^142 ] Regular 3-polytope with group of order 1144 NSD Type [ 22, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 1152 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.3)^8 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1152 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1152 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1152 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1152 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 16, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 16, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1152 NSD Type [ 18, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1152 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1152 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1152 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1152 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1156 NSD Type [ 17, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^17 ] Regular 3-polytope with group of order 1160 NSD Type [ 10, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 1168 NSD Type [ 4, 146 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^146 ] Regular 3-polytope with group of order 1176 NSD Type [ 4, 147 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^147 ] Regular 3-polytope with group of order 1176 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1176 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 1176 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 1176 NSD Type [ 6, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 1176 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1176 NSD Type [ 14, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1176 NSD Type [ 14, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1176 NSD Type [ 14, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^14, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1184 NSD Type [ 4, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 1184 NSD Type [ 8, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 1188 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 1188 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1188 NSD Type [ 6, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^99 ] Regular 3-polytope with group of order 1200 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 3, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 4, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 5, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 1200 NSD Type [ 6, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1200 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1200 NSD Type [ 12, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1200 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 1200 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1200 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1200 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1200 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 1200 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1216 NSD Type [ 4, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 1216 NSD Type [ 4, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1216 NSD Type [ 4, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 1216 NSD Type [ 8, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 1216 NSD Type [ 8, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 1216 NSD Type [ 16, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1224 NSD Type [ 4, 153 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^153 ] Regular 3-polytope with group of order 1224 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1224 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1224 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 1224 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 1224 NSD Type [ 18, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1232 NSD Type [ 4, 154 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^154 ] Regular 3-polytope with group of order 1232 NSD Type [ 14, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1232 NSD Type [ 22, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1240 NSD Type [ 10, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 1248 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 1248 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 1248 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1248 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 1248 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1248 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1248 NSD Type [ 6, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 1248 NSD Type [ 8, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 1248 NSD Type [ 8, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 1248 NSD Type [ 12, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1248 NSD Type [ 12, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1248 NSD Type [ 24, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 1260 NSD Type [ 6, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 1264 NSD Type [ 4, 158 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^158 ] Regular 3-polytope with group of order 1272 NSD Type [ 4, 159 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^159 ] Regular 3-polytope with group of order 1272 NSD Type [ 6, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 4, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 1280 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 1280 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1280 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1280 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1280 NSD Type [ 10, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1280 NSD Type [ 20, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 1280 NSD Type [ 20, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1288 NSD Type [ 14, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 1296 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 3, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 4, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 1296 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 1296 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1)^9, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1296 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1296 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1296 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1296 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1296 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1300 NSD Type [ 10, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^65 ] Regular 3-polytope with group of order 1312 NSD Type [ 4, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 1312 NSD Type [ 8, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 1320 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 3, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^11, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^3 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2)^11, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1320 NSD Type [ 4, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^165 ] Regular 3-polytope with group of order 1320 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^11, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 1320 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.2 * A.1 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1320 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1320 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^11 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 6, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^10, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.3 * A.2)^11, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 10, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 1320 SD Type [ 11, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^11, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1320 NSD Type [ 11, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1320 NSD Type [ 11, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^11 ] Regular 3-polytope with group of order 1320 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1320 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1320 NSD Type [ 22, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1328 NSD Type [ 4, 166 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^166 ] Regular 3-polytope with group of order 1332 NSD Type [ 6, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^111 ] Regular 3-polytope with group of order 1344 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 3, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 1344 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 6, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 1344 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 7, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 7, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 7, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1344 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 1344 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1344 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1344 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1344 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1344 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1344 NSD Type [ 14, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1344 NSD Type [ 16, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1344 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1344 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1352 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^13 ] Regular 3-polytope with group of order 1352 NSD Type [ 4, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1352 NSD Type [ 26, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^26 ] Regular 3-polytope with group of order 1352 SD Type [ 26, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 1360 NSD Type [ 4, 170 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^170 ] Regular 3-polytope with group of order 1360 NSD Type [ 10, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 1360 NSD Type [ 20, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1368 NSD Type [ 4, 171 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^171 ] Regular 3-polytope with group of order 1368 NSD Type [ 6, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1368 NSD Type [ 6, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1368 NSD Type [ 6, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 1368 NSD Type [ 6, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 1368 NSD Type [ 18, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1372 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1372 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1372 NSD Type [ 14, 49 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^49 ] Regular 3-polytope with group of order 1376 NSD Type [ 4, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^172 ] Regular 3-polytope with group of order 1376 NSD Type [ 8, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 1392 NSD Type [ 4, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^87 ] Regular 3-polytope with group of order 1392 NSD Type [ 4, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 1392 NSD Type [ 4, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1392 NSD Type [ 4, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 1392 NSD Type [ 6, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1392 NSD Type [ 6, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1392 NSD Type [ 6, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 1392 NSD Type [ 12, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 1400 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1400 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1400 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 1400 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 1400 NSD Type [ 14, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1404 NSD Type [ 6, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 1404 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1404 NSD Type [ 6, 117 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^117 ] Regular 3-polytope with group of order 1408 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1408 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1408 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 1408 NSD Type [ 4, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1408 NSD Type [ 4, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^176 ] Regular 3-polytope with group of order 1408 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1408 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1408 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1408 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 1408 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 1408 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1408 NSD Type [ 16, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1408 NSD Type [ 16, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1408 NSD Type [ 22, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1416 NSD Type [ 4, 177 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^177 ] Regular 3-polytope with group of order 1416 NSD Type [ 6, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 1424 NSD Type [ 4, 178 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^178 ] Regular 3-polytope with group of order 1440 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 3, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1440 NSD Type [ 3, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 3, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 3, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 4, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 1440 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 1440 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1440 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1440 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 1440 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1440 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1440 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1440 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1440 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 1440 NSD Type [ 8, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 1440 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1440 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1440 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 10, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1440 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1440 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 1440 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1440 NSD Type [ 15, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 1440 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1440 NSD Type [ 18, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1440 NSD Type [ 20, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1440 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1440 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1440 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 1444 NSD Type [ 19, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^19 ] Regular 3-polytope with group of order 1452 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1452 NSD Type [ 3, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 1452 NSD Type [ 6, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 1452 NSD Type [ 22, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 1456 NSD Type [ 4, 182 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^182 ] Regular 3-polytope with group of order 1456 NSD Type [ 14, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1456 NSD Type [ 26, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1464 NSD Type [ 4, 183 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^183 ] Regular 3-polytope with group of order 1464 NSD Type [ 6, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 1472 NSD Type [ 4, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 1472 NSD Type [ 4, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1472 NSD Type [ 4, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^184 ] Regular 3-polytope with group of order 1472 NSD Type [ 8, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 1472 NSD Type [ 8, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 1472 NSD Type [ 16, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 1476 NSD Type [ 6, 123 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^123 ] Regular 3-polytope with group of order 1480 NSD Type [ 10, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 1488 NSD Type [ 4, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^93 ] Regular 3-polytope with group of order 1488 NSD Type [ 4, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 1488 NSD Type [ 4, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1488 NSD Type [ 4, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 1488 NSD Type [ 6, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1488 NSD Type [ 6, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1488 NSD Type [ 6, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 1488 NSD Type [ 12, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 1496 NSD Type [ 22, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1500 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1500 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^5 ] Regular 3-polytope with group of order 1500 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1500 NSD Type [ 10, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 1504 NSD Type [ 4, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^188 ] Regular 3-polytope with group of order 1504 NSD Type [ 8, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 1512 NSD Type [ 4, 189 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^189 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 1512 NSD Type [ 6, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 1512 NSD Type [ 14, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1512 NSD Type [ 18, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1512 NSD Type [ 18, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1520 NSD Type [ 4, 190 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^190 ] Regular 3-polytope with group of order 1520 NSD Type [ 10, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 1520 NSD Type [ 20, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1536 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 6, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 12, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1536 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1536 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 1536 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1548 NSD Type [ 6, 129 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^129 ] Regular 3-polytope with group of order 1552 NSD Type [ 4, 194 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^194 ] Regular 3-polytope with group of order 1560 NSD Type [ 4, 195 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^195 ] Regular 3-polytope with group of order 1560 NSD Type [ 6, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1560 NSD Type [ 6, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 1560 NSD Type [ 10, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1560 NSD Type [ 10, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1560 NSD Type [ 10, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 1560 NSD Type [ 26, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1568 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^14 ] Regular 3-polytope with group of order 1568 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1568 NSD Type [ 4, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^196 ] Regular 3-polytope with group of order 1568 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1568 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 1568 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1568 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1568 NSD Type [ 8, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 1568 NSD Type [ 14, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1568 NSD Type [ 14, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 1568 NSD Type [ 14, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1568 SD Type [ 28, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1568 NSD Type [ 28, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 1584 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1584 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1584 NSD Type [ 4, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^99 ] Regular 3-polytope with group of order 1584 NSD Type [ 4, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 1584 NSD Type [ 4, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1584 NSD Type [ 4, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 1584 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 1584 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1584 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1584 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1584 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 1584 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 1584 NSD Type [ 12, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 1584 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1584 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1584 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 1584 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 1584 NSD Type [ 18, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1584 NSD Type [ 18, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1584 NSD Type [ 22, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1600 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1600 NSD Type [ 4, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 1600 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.1 * A.2 * A.3)^10 ] Regular 3-polytope with group of order 1600 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 8, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 1600 NSD Type [ 8, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 1600 NSD Type [ 8, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 1600 NSD Type [ 8, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 1600 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1600 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1600 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 1600 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 1600 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1600 NSD Type [ 16, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1600 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1600 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1608 NSD Type [ 4, 201 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^201 ] Regular 3-polytope with group of order 1608 NSD Type [ 6, 134 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^134 ] Regular 3-polytope with group of order 1616 NSD Type [ 4, 202 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^202 ] Regular 3-polytope with group of order 1620 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1620 NSD Type [ 6, 135 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^135 ] Regular 3-polytope with group of order 1620 NSD Type [ 15, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 1620 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1620 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1620 NSD Type [ 18, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 1624 NSD Type [ 14, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 1632 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 1632 NSD Type [ 4, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 1632 NSD Type [ 4, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1632 NSD Type [ 4, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 1632 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1632 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1632 NSD Type [ 6, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 1632 NSD Type [ 8, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 1632 NSD Type [ 8, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 1632 NSD Type [ 12, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1632 NSD Type [ 12, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 1632 NSD Type [ 24, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1640 NSD Type [ 10, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 1648 NSD Type [ 4, 206 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^206 ] Regular 3-polytope with group of order 1656 NSD Type [ 4, 207 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^207 ] Regular 3-polytope with group of order 1656 NSD Type [ 6, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1656 NSD Type [ 6, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1656 NSD Type [ 6, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 1656 NSD Type [ 6, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 1656 NSD Type [ 18, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 1664 NSD Type [ 4, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1664 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1664 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 1664 NSD Type [ 4, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1664 NSD Type [ 4, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^208 ] Regular 3-polytope with group of order 1664 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1664 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1664 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1664 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 1664 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 1664 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1664 NSD Type [ 16, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1664 NSD Type [ 16, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1664 NSD Type [ 26, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1672 NSD Type [ 22, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1680 NSD Type [ 4, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 4, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 1680 NSD Type [ 4, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 4, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^210 ] Regular 3-polytope with group of order 1680 NSD Type [ 4, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^210 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 6, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 1680 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 10, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 1680 NSD Type [ 12, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 1680 NSD Type [ 14, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1680 NSD Type [ 20, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1680 NSD Type [ 20, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1680 NSD Type [ 28, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1680 NSD Type [ 28, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1692 NSD Type [ 6, 141 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^141 ] Regular 3-polytope with group of order 1696 NSD Type [ 4, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^212 ] Regular 3-polytope with group of order 1696 NSD Type [ 8, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 1700 NSD Type [ 10, 85 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^85 ] Regular 3-polytope with group of order 1704 NSD Type [ 4, 213 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^213 ] Regular 3-polytope with group of order 1704 NSD Type [ 6, 142 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^142 ] Regular 3-polytope with group of order 1712 NSD Type [ 4, 214 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^214 ] Regular 3-polytope with group of order 1720 NSD Type [ 10, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 1728 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 1728 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 1728 NSD Type [ 6, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 1728 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 1728 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 1728 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1728 NSD Type [ 16, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1728 NSD Type [ 18, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1728 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1728 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1736 NSD Type [ 14, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 1744 NSD Type [ 4, 218 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^218 ] Regular 3-polytope with group of order 1752 NSD Type [ 4, 219 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^219 ] Regular 3-polytope with group of order 1752 NSD Type [ 6, 146 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^146 ] Regular 3-polytope with group of order 1760 NSD Type [ 4, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^55 ] Regular 3-polytope with group of order 1760 NSD Type [ 4, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^220 ] Regular 3-polytope with group of order 1760 NSD Type [ 8, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 1760 NSD Type [ 10, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 1760 NSD Type [ 20, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1760 NSD Type [ 22, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1764 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1764 NSD Type [ 3, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1764 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.3)^14 ] Regular 3-polytope with group of order 1764 NSD Type [ 6, 147 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^147 ] Regular 3-polytope with group of order 1764 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 1764 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 1764 NSD Type [ 14, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 1764 NSD Type [ 21, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^21 ] Regular 3-polytope with group of order 1768 NSD Type [ 26, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1776 NSD Type [ 4, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^111 ] Regular 3-polytope with group of order 1776 NSD Type [ 4, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^222 ] Regular 3-polytope with group of order 1776 NSD Type [ 4, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1776 NSD Type [ 4, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^222 ] Regular 3-polytope with group of order 1776 NSD Type [ 6, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1776 NSD Type [ 6, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1776 NSD Type [ 6, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 1776 NSD Type [ 12, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 4, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^224 ] Regular 3-polytope with group of order 1792 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1792 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1792 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 1792 NSD Type [ 14, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 1792 NSD Type [ 28, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 1792 NSD Type [ 28, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1800 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^15 ] Regular 3-polytope with group of order 1800 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 4, 225 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^225 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1800 NSD Type [ 6, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 1800 NSD Type [ 10, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 1800 NSD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 18, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 1800 NSD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1800 NSD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1800 NSD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1800 SD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1800 NSD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 1808 NSD Type [ 4, 226 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^226 ] Regular 3-polytope with group of order 1824 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 1824 NSD Type [ 4, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 1824 NSD Type [ 4, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1824 NSD Type [ 4, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 1824 NSD Type [ 6, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1824 NSD Type [ 6, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1824 NSD Type [ 6, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 1824 NSD Type [ 8, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 1824 NSD Type [ 8, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 1824 NSD Type [ 12, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1824 NSD Type [ 12, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 1824 NSD Type [ 24, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1836 NSD Type [ 6, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 1836 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1836 NSD Type [ 6, 153 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^153 ] Regular 3-polytope with group of order 1840 NSD Type [ 4, 230 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^230 ] Regular 3-polytope with group of order 1840 NSD Type [ 10, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 1840 NSD Type [ 20, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 1848 NSD Type [ 4, 231 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^231 ] Regular 3-polytope with group of order 1848 NSD Type [ 6, 154 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^154 ] Regular 3-polytope with group of order 1848 NSD Type [ 14, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 1848 NSD Type [ 22, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 1856 NSD Type [ 4, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 1856 NSD Type [ 4, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1856 NSD Type [ 4, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^232 ] Regular 3-polytope with group of order 1856 NSD Type [ 8, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 1856 NSD Type [ 8, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 1856 NSD Type [ 16, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 1872 NSD Type [ 4, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1872 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1872 NSD Type [ 4, 117 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^117 ] Regular 3-polytope with group of order 1872 NSD Type [ 4, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^234 ] Regular 3-polytope with group of order 1872 NSD Type [ 4, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1872 NSD Type [ 4, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^234 ] Regular 3-polytope with group of order 1872 NSD Type [ 6, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 1872 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1872 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1872 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 1872 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 1872 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1872 NSD Type [ 12, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 1872 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1872 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 1872 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 1872 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1872 NSD Type [ 18, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1872 NSD Type [ 18, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 1872 NSD Type [ 26, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 1880 NSD Type [ 10, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 1888 NSD Type [ 4, 236 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^236 ] Regular 3-polytope with group of order 1888 NSD Type [ 8, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 1896 NSD Type [ 4, 237 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^237 ] Regular 3-polytope with group of order 1896 NSD Type [ 6, 158 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^158 ] Regular 3-polytope with group of order 1900 NSD Type [ 10, 95 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^95 ] Regular 3-polytope with group of order 1904 NSD Type [ 4, 238 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^238 ] Regular 3-polytope with group of order 1904 NSD Type [ 14, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 1904 NSD Type [ 28, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 1908 NSD Type [ 6, 159 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^159 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 1920 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 6, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 1920 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 1920 NSD Type [ 10, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 1920 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 12, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 1920 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 1920 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 16, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 NSD Type [ 16, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 1920 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 20, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 1920 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1920 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1920 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1920 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 1920 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 1920 NSD Type [ 30, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 1936 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1936 NSD Type [ 4, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 1936 NSD Type [ 4, 242 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^242 ] Regular 3-polytope with group of order 1936 NSD Type [ 22, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1936 NSD Type [ 22, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^22 ] Regular 3-polytope with group of order 1936 NSD Type [ 22, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^9 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 4, 243 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^243 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 1944 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 1944 NSD Type [ 6, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 1944 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1)^9, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1944 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1944 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 1952 NSD Type [ 4, 244 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^244 ] Regular 3-polytope with group of order 1952 NSD Type [ 8, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 1960 NSD Type [ 10, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 1960 NSD Type [ 14, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^14, A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1960 NSD Type [ 14, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1960 NSD Type [ 14, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 1960 NSD Type [ 14, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 1968 NSD Type [ 4, 123 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^123 ] Regular 3-polytope with group of order 1968 NSD Type [ 4, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^246 ] Regular 3-polytope with group of order 1968 NSD Type [ 4, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1968 NSD Type [ 4, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^246 ] Regular 3-polytope with group of order 1968 NSD Type [ 6, 123 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1968 NSD Type [ 6, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 1968 NSD Type [ 6, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 1968 NSD Type [ 12, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 1976 NSD Type [ 26, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 1980 NSD Type [ 6, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^165 ] Regular 3-polytope with group of order 1984 NSD Type [ 4, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 1984 NSD Type [ 4, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 1984 NSD Type [ 4, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^248 ] Regular 3-polytope with group of order 1984 NSD Type [ 8, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 1984 NSD Type [ 8, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 1984 NSD Type [ 16, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 1992 NSD Type [ 4, 249 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^249 ] Regular 3-polytope with group of order 1992 NSD Type [ 6, 166 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^166 ] Regular 3-polytope with group of order 2000 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2000 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2000 NSD Type [ 4, 250 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^250 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 2000 NSD Type [ 10, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 2000 NSD Type [ 20, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 2000 NSD Type [ 20, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 3, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 252 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^252 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 252 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 4, 252 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^252 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 6, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 2016 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 7, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 2016 NSD Type [ 8, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 2016 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 14, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2016 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2016 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2016 NSD Type [ 18, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2016 NSD Type [ 18, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2016 NSD Type [ 21, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^21 ] Regular 3-polytope with group of order 2016 NSD Type [ 24, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2016 NSD Type [ 24, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2016 NSD Type [ 24, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2016 NSD Type [ 28, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2024 NSD Type [ 22, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 2028 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2028 NSD Type [ 3, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 2028 NSD Type [ 6, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 2028 NSD Type [ 26, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 2032 NSD Type [ 4, 254 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^254 ] Regular 3-polytope with group of order 2040 NSD Type [ 4, 255 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^255 ] Regular 3-polytope with group of order 2040 NSD Type [ 6, 85 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2040 NSD Type [ 6, 170 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^170 ] Regular 3-polytope with group of order 2040 NSD Type [ 10, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2040 NSD Type [ 10, 85 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2040 NSD Type [ 10, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 2040 NSD Type [ 30, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 2048 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 256 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 4, 256 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^256 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 8, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^8, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^16, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 SD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2048 NSD Type [ 16, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2048 NSD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 NSD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2048 NSD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 2048 NSD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2048 SD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2048 SD Type [ 32, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2052 NSD Type [ 6, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 2052 NSD Type [ 6, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2052 NSD Type [ 6, 171 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^171 ] Regular 3-polytope with group of order 2064 NSD Type [ 4, 129 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^129 ] Regular 3-polytope with group of order 2064 NSD Type [ 4, 258 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^258 ] Regular 3-polytope with group of order 2064 NSD Type [ 4, 258 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2064 NSD Type [ 4, 258 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^258 ] Regular 3-polytope with group of order 2064 NSD Type [ 6, 129 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2064 NSD Type [ 6, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2064 NSD Type [ 6, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^172 ] Regular 3-polytope with group of order 2064 NSD Type [ 12, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 2072 NSD Type [ 14, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 2080 NSD Type [ 4, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^65 ] Regular 3-polytope with group of order 2080 NSD Type [ 4, 260 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^260 ] Regular 3-polytope with group of order 2080 NSD Type [ 8, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 2080 NSD Type [ 10, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 2080 NSD Type [ 20, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2080 NSD Type [ 26, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2088 NSD Type [ 4, 261 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^261 ] Regular 3-polytope with group of order 2088 NSD Type [ 6, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2088 NSD Type [ 6, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2088 NSD Type [ 6, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 2088 NSD Type [ 6, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 2088 NSD Type [ 18, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 2096 NSD Type [ 4, 262 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^262 ] Regular 3-polytope with group of order 2100 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2100 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2100 NSD Type [ 10, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2100 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2100 NSD Type [ 10, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^264 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 4, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^264 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 6, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^176 ] Regular 3-polytope with group of order 2112 NSD Type [ 8, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 2112 NSD Type [ 8, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2112 NSD Type [ 8, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2112 NSD Type [ 8, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2112 NSD Type [ 8, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 2112 NSD Type [ 8, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2112 NSD Type [ 12, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2112 NSD Type [ 16, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2112 NSD Type [ 22, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2112 NSD Type [ 24, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2112 NSD Type [ 24, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2116 NSD Type [ 23, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^23 ] Regular 3-polytope with group of order 2120 NSD Type [ 10, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 2124 NSD Type [ 6, 177 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^177 ] Regular 3-polytope with group of order 2128 NSD Type [ 4, 266 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^266 ] Regular 3-polytope with group of order 2128 NSD Type [ 14, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2128 NSD Type [ 28, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 2136 NSD Type [ 4, 267 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^267 ] Regular 3-polytope with group of order 2136 NSD Type [ 6, 178 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^178 ] Regular 3-polytope with group of order 2144 NSD Type [ 4, 268 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^268 ] Regular 3-polytope with group of order 2144 NSD Type [ 8, 134 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^134 ] Regular 3-polytope with group of order 2156 NSD Type [ 14, 77 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^77 ] Regular 3-polytope with group of order 2160 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 135 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^135 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 270 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 270 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^270 ] Regular 3-polytope with group of order 2160 NSD Type [ 4, 270 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^270 ] Regular 3-polytope with group of order 2160 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 5, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2160 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 2160 NSD Type [ 6, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 2160 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2160 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 10, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2160 NSD Type [ 12, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 18, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2160 NSD Type [ 18, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 18, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2160 NSD Type [ 20, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 20, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2160 SD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2160 NSD Type [ 30, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2160 NSD Type [ 30, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2160 NSD Type [ 30, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2176 NSD Type [ 4, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2176 NSD Type [ 4, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2176 NSD Type [ 4, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 2176 NSD Type [ 4, 272 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2176 NSD Type [ 4, 272 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^272 ] Regular 3-polytope with group of order 2176 NSD Type [ 8, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2176 NSD Type [ 8, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2176 NSD Type [ 8, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2176 NSD Type [ 8, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 2176 NSD Type [ 8, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 2176 NSD Type [ 8, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2176 NSD Type [ 16, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2176 NSD Type [ 16, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2176 NSD Type [ 32, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^13, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 3, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 4, 273 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^273 ] Regular 3-polytope with group of order 2184 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.2)^7 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^13, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2)^13, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 6, 182 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^182 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^7, (A.3 * A.2)^7 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^13, (A.3 * A.2 * A.1 * A.2)^7 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^7, (A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 7, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 13, 13 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^13, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^13, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 13, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2184 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2184 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2184 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2184 NSD Type [ 14, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2184 NSD Type [ 26, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2192 NSD Type [ 4, 274 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^274 ] Regular 3-polytope with group of order 2196 NSD Type [ 6, 183 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^183 ] Regular 3-polytope with group of order 2200 NSD Type [ 10, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2200 NSD Type [ 10, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2200 NSD Type [ 10, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 2200 NSD Type [ 10, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 2200 NSD Type [ 22, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 2208 NSD Type [ 4, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 2208 NSD Type [ 4, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^276 ] Regular 3-polytope with group of order 2208 NSD Type [ 4, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2208 NSD Type [ 4, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^276 ] Regular 3-polytope with group of order 2208 NSD Type [ 6, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2208 NSD Type [ 6, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2208 NSD Type [ 6, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^184 ] Regular 3-polytope with group of order 2208 NSD Type [ 8, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 2208 NSD Type [ 8, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 2208 NSD Type [ 12, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2208 NSD Type [ 12, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2208 NSD Type [ 24, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 2224 NSD Type [ 4, 278 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^278 ] Regular 3-polytope with group of order 2232 NSD Type [ 4, 279 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^279 ] Regular 3-polytope with group of order 2232 NSD Type [ 6, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2232 NSD Type [ 6, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2232 NSD Type [ 6, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 2232 NSD Type [ 6, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 2232 NSD Type [ 18, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 2240 NSD Type [ 4, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 2240 NSD Type [ 4, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2240 NSD Type [ 4, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 2240 NSD Type [ 4, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 2240 NSD Type [ 4, 280 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2240 NSD Type [ 4, 280 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^280 ] Regular 3-polytope with group of order 2240 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 2240 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 2240 NSD Type [ 8, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 2240 NSD Type [ 8, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 2240 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2240 NSD Type [ 10, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2240 NSD Type [ 10, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 2240 NSD Type [ 14, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2240 NSD Type [ 16, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 2240 NSD Type [ 20, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2240 NSD Type [ 20, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2240 NSD Type [ 20, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2240 NSD Type [ 28, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 2240 NSD Type [ 28, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2256 NSD Type [ 4, 141 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^141 ] Regular 3-polytope with group of order 2256 NSD Type [ 4, 282 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^282 ] Regular 3-polytope with group of order 2256 NSD Type [ 4, 282 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2256 NSD Type [ 4, 282 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^282 ] Regular 3-polytope with group of order 2256 NSD Type [ 6, 141 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2256 NSD Type [ 6, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2256 NSD Type [ 6, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^188 ] Regular 3-polytope with group of order 2256 NSD Type [ 12, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 6, 189 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^189 ] Regular 3-polytope with group of order 2268 NSD Type [ 18, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2268 NSD Type [ 18, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 18, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 18, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2268 NSD Type [ 18, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 2272 NSD Type [ 4, 284 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^284 ] Regular 3-polytope with group of order 2272 NSD Type [ 8, 142 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^142 ] Regular 3-polytope with group of order 2280 NSD Type [ 4, 285 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^285 ] Regular 3-polytope with group of order 2280 NSD Type [ 6, 95 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2280 NSD Type [ 6, 190 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^190 ] Regular 3-polytope with group of order 2280 NSD Type [ 10, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2280 NSD Type [ 10, 95 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2280 NSD Type [ 10, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 2280 NSD Type [ 30, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 2288 NSD Type [ 4, 286 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^286 ] Regular 3-polytope with group of order 2288 NSD Type [ 22, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2288 NSD Type [ 26, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2296 NSD Type [ 14, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 2300 NSD Type [ 10, 115 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^115 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 3, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 288 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 288 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^288 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 288 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 4, 288 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^288 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 2304 NSD Type [ 6, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.2)^9, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 8, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 2304 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 9, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 9, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 16, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2304 NSD Type [ 18, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2304 NSD Type [ 32, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2304 NSD Type [ 32, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2312 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^17 ] Regular 3-polytope with group of order 2312 NSD Type [ 4, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2312 NSD Type [ 34, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^34 ] Regular 3-polytope with group of order 2312 SD Type [ 34, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 2320 NSD Type [ 4, 290 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^290 ] Regular 3-polytope with group of order 2320 NSD Type [ 10, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 2320 NSD Type [ 20, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 2328 NSD Type [ 4, 291 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^291 ] Regular 3-polytope with group of order 2328 NSD Type [ 6, 194 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^194 ] Regular 3-polytope with group of order 2336 NSD Type [ 4, 292 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^292 ] Regular 3-polytope with group of order 2336 NSD Type [ 8, 146 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^146 ] Regular 3-polytope with group of order 2340 NSD Type [ 6, 195 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^195 ] Regular 3-polytope with group of order 2352 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 3, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2352 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 4, 147 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^147 ] Regular 3-polytope with group of order 2352 NSD Type [ 4, 294 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^294 ] Regular 3-polytope with group of order 2352 NSD Type [ 4, 294 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 4, 294 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^294 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 147 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^196 ] Regular 3-polytope with group of order 2352 NSD Type [ 6, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2352 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 7, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2 * A.1 * A.2)^7 ] Regular 3-polytope with group of order 2352 NSD Type [ 7, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2352 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2352 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2352 NSD Type [ 12, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 2352 NSD Type [ 14, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 14, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2352 NSD Type [ 14, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2352 NSD Type [ 14, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 2352 NSD Type [ 14, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2352 NSD Type [ 21, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^21 ] Regular 3-polytope with group of order 2352 NSD Type [ 21, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2352 NSD Type [ 28, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 2352 NSD Type [ 28, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2352 NSD Type [ 28, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2352 NSD Type [ 28, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2360 NSD Type [ 10, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 2368 NSD Type [ 4, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 2368 NSD Type [ 4, 296 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2368 NSD Type [ 4, 296 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^296 ] Regular 3-polytope with group of order 2368 NSD Type [ 8, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 2368 NSD Type [ 8, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 2368 NSD Type [ 16, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 2376 NSD Type [ 4, 297 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^297 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 2376 NSD Type [ 6, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 2376 NSD Type [ 18, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2376 NSD Type [ 18, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2376 NSD Type [ 22, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2384 NSD Type [ 4, 298 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^298 ] Regular 3-polytope with group of order 2392 NSD Type [ 26, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 2400 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 3, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^300 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 4, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^300 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 5, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 6, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 2400 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2400 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2400 NSD Type [ 8, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 2400 NSD Type [ 8, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2400 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 10, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 12, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 2400 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 15, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 2400 NSD Type [ 15, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2400 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2400 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2400 NSD Type [ 20, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2400 NSD Type [ 20, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 2400 NSD Type [ 20, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2400 NSD Type [ 24, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 2400 NSD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2400 SD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2400 NSD Type [ 30, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2400 NSD Type [ 30, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2400 NSD Type [ 30, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 2408 NSD Type [ 14, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 2412 NSD Type [ 6, 201 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^201 ] Regular 3-polytope with group of order 2416 NSD Type [ 4, 302 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^302 ] Regular 3-polytope with group of order 2420 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2420 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2420 NSD Type [ 5, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2420 NSD Type [ 5, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2420 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2420 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2420 NSD Type [ 22, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^55 ] Regular 3-polytope with group of order 2424 NSD Type [ 4, 303 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^303 ] Regular 3-polytope with group of order 2424 NSD Type [ 6, 202 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^202 ] Regular 3-polytope with group of order 2432 NSD Type [ 4, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2432 NSD Type [ 4, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2432 NSD Type [ 4, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 2432 NSD Type [ 4, 304 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2432 NSD Type [ 4, 304 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^304 ] Regular 3-polytope with group of order 2432 NSD Type [ 8, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2432 NSD Type [ 8, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2432 NSD Type [ 8, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2432 NSD Type [ 8, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 2432 NSD Type [ 8, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 2432 NSD Type [ 8, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2432 NSD Type [ 16, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2432 NSD Type [ 16, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2432 NSD Type [ 32, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 2440 NSD Type [ 10, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 2448 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 NSD Type [ 3, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 153 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^153 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 306 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^306 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 306 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 NSD Type [ 4, 306 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^306 ] Regular 3-polytope with group of order 2448 NSD Type [ 6, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 2448 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2448 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 2448 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 2448 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.2)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 2448 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 8, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 NSD Type [ 8, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 2448 NSD Type [ 9, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2448 NSD Type [ 9, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2448 NSD Type [ 9, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1)^9, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 NSD Type [ 12, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 2448 NSD Type [ 12, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 2448 NSD Type [ 12, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 2448 NSD Type [ 12, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 12, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2448 SD Type [ 17, 17 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 18, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2448 NSD Type [ 18, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2448 NSD Type [ 34, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2464 NSD Type [ 4, 308 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^308 ] Regular 3-polytope with group of order 2464 NSD Type [ 8, 154 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^154 ] Regular 3-polytope with group of order 2464 NSD Type [ 14, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2464 NSD Type [ 22, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2464 NSD Type [ 28, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2472 NSD Type [ 4, 309 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^309 ] Regular 3-polytope with group of order 2472 NSD Type [ 6, 206 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^206 ] Regular 3-polytope with group of order 2480 NSD Type [ 4, 310 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^310 ] Regular 3-polytope with group of order 2480 NSD Type [ 10, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 2480 NSD Type [ 20, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 2484 NSD Type [ 6, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 2484 NSD Type [ 6, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2484 NSD Type [ 6, 207 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^207 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^312 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 4, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^312 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 6, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^208 ] Regular 3-polytope with group of order 2496 NSD Type [ 8, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 2496 NSD Type [ 8, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2496 NSD Type [ 8, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2496 NSD Type [ 8, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2496 NSD Type [ 8, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 2496 NSD Type [ 8, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 2496 NSD Type [ 12, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2496 NSD Type [ 16, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2496 NSD Type [ 24, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2496 NSD Type [ 24, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2496 NSD Type [ 26, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2500 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2500 NSD Type [ 10, 125 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^125 ] Regular 3-polytope with group of order 2500 NSD Type [ 25, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^25 ] Regular 3-polytope with group of order 2512 NSD Type [ 4, 314 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^314 ] Regular 3-polytope with group of order 2520 NSD Type [ 4, 315 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^315 ] Regular 3-polytope with group of order 2520 NSD Type [ 6, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2520 NSD Type [ 6, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2520 NSD Type [ 6, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2520 NSD Type [ 6, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^210 ] Regular 3-polytope with group of order 2520 NSD Type [ 6, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^210 ] Regular 3-polytope with group of order 2520 NSD Type [ 10, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2520 NSD Type [ 10, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2520 NSD Type [ 10, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 2520 NSD Type [ 14, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2520 NSD Type [ 18, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 2520 NSD Type [ 30, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 2520 NSD Type [ 30, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2520 NSD Type [ 30, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2528 NSD Type [ 4, 316 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^316 ] Regular 3-polytope with group of order 2528 NSD Type [ 8, 158 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^158 ] Regular 3-polytope with group of order 2544 NSD Type [ 4, 159 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^159 ] Regular 3-polytope with group of order 2544 NSD Type [ 4, 318 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^318 ] Regular 3-polytope with group of order 2544 NSD Type [ 4, 318 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2544 NSD Type [ 4, 318 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^318 ] Regular 3-polytope with group of order 2544 NSD Type [ 6, 159 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2544 NSD Type [ 6, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2544 NSD Type [ 6, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^212 ] Regular 3-polytope with group of order 2544 NSD Type [ 12, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 2548 NSD Type [ 14, 91 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^91 ] Regular 3-polytope with group of order 2552 NSD Type [ 22, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 2556 NSD Type [ 6, 213 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^213 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 320 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 4, 320 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^320 ] Regular 3-polytope with group of order 2560 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 8, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 2560 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 10, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 16, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2560 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2560 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2560 NSD Type [ 20, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2560 NSD Type [ 32, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2560 NSD Type [ 32, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2560 NSD Type [ 32, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 2560 NSD Type [ 32, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2568 NSD Type [ 4, 321 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^321 ] Regular 3-polytope with group of order 2568 NSD Type [ 6, 214 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^214 ] Regular 3-polytope with group of order 2576 NSD Type [ 4, 322 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^322 ] Regular 3-polytope with group of order 2576 NSD Type [ 14, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2576 NSD Type [ 28, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 2584 NSD Type [ 34, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 2592 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 3, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 3, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 3, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 324 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^324 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 324 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 4, 324 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^324 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 2592 NSD Type [ 6, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 2592 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2592 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 8, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 8, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 2592 NSD Type [ 8, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 9, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 2592 NSD Type [ 12, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2592 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2592 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2592 NSD Type [ 18, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2592 NSD Type [ 24, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2592 NSD Type [ 24, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2592 NSD Type [ 24, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2592 NSD Type [ 36, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^36 ] Regular 3-polytope with group of order 2592 SD Type [ 36, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2600 NSD Type [ 10, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2600 NSD Type [ 10, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2600 NSD Type [ 10, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 2600 NSD Type [ 10, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 2600 NSD Type [ 26, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 2608 NSD Type [ 4, 326 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^326 ] Regular 3-polytope with group of order 2616 NSD Type [ 4, 327 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^327 ] Regular 3-polytope with group of order 2616 NSD Type [ 6, 218 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^218 ] Regular 3-polytope with group of order 2624 NSD Type [ 4, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 2624 NSD Type [ 4, 328 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2624 NSD Type [ 4, 328 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^328 ] Regular 3-polytope with group of order 2624 NSD Type [ 8, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 2624 NSD Type [ 8, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 2624 NSD Type [ 16, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 2628 NSD Type [ 6, 219 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^219 ] Regular 3-polytope with group of order 2632 NSD Type [ 14, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 2640 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 3, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^11, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^165 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 330 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 330 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^330 ] Regular 3-polytope with group of order 2640 NSD Type [ 4, 330 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^330 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 5, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2640 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^11, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^11 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 6, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^220 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^10, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2)^10, (A.3 * A.2)^11 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^11, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 11 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^11, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 10, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 2640 NSD Type [ 11, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.1)^11, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2640 NSD Type [ 11, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^11 ] Regular 3-polytope with group of order 2640 NSD Type [ 11, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.1)^11, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2640 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2640 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2640 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2640 NSD Type [ 12, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 2640 NSD Type [ 20, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 20, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2640 NSD Type [ 22, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2640 NSD Type [ 30, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2640 NSD Type [ 30, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2656 NSD Type [ 4, 332 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^332 ] Regular 3-polytope with group of order 2656 NSD Type [ 8, 166 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^166 ] Regular 3-polytope with group of order 2664 NSD Type [ 4, 333 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^333 ] Regular 3-polytope with group of order 2664 NSD Type [ 6, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2664 NSD Type [ 6, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2664 NSD Type [ 6, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^222 ] Regular 3-polytope with group of order 2664 NSD Type [ 6, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^222 ] Regular 3-polytope with group of order 2664 NSD Type [ 18, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 2672 NSD Type [ 4, 334 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^334 ] Regular 3-polytope with group of order 2680 NSD Type [ 10, 134 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^134 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 336 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 336 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^336 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 336 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 4, 336 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^336 ] Regular 3-polytope with group of order 2688 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 6, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^224 ] Regular 3-polytope with group of order 2688 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2688 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2688 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 8, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 12, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 2688 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2688 NSD Type [ 14, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 2688 NSD Type [ 16, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 16, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2688 NSD Type [ 24, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2688 NSD Type [ 28, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 2688 NSD Type [ 28, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2688 NSD Type [ 32, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2700 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2700 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2700 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2700 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2700 NSD Type [ 6, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 2700 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 2700 NSD Type [ 6, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2700 NSD Type [ 6, 225 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^225 ] Regular 3-polytope with group of order 2700 NSD Type [ 9, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2700 NSD Type [ 10, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2700 NSD Type [ 10, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2700 NSD Type [ 10, 135 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^135 ] Regular 3-polytope with group of order 2700 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 2700 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 2700 SD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2700 NSD Type [ 30, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2704 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2704 NSD Type [ 4, 26 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^26 ] Regular 3-polytope with group of order 2704 NSD Type [ 4, 338 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^338 ] Regular 3-polytope with group of order 2704 NSD Type [ 26, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2704 NSD Type [ 26, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^26 ] Regular 3-polytope with group of order 2704 NSD Type [ 26, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2712 NSD Type [ 4, 339 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^339 ] Regular 3-polytope with group of order 2712 NSD Type [ 6, 226 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^226 ] Regular 3-polytope with group of order 2720 NSD Type [ 4, 85 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^85 ] Regular 3-polytope with group of order 2720 NSD Type [ 4, 340 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^340 ] Regular 3-polytope with group of order 2720 NSD Type [ 8, 170 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^170 ] Regular 3-polytope with group of order 2720 NSD Type [ 10, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 2720 NSD Type [ 20, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2720 NSD Type [ 34, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2728 NSD Type [ 22, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 2736 NSD Type [ 4, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2736 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2736 NSD Type [ 4, 171 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^171 ] Regular 3-polytope with group of order 2736 NSD Type [ 4, 342 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^342 ] Regular 3-polytope with group of order 2736 NSD Type [ 4, 342 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2736 NSD Type [ 4, 342 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^342 ] Regular 3-polytope with group of order 2736 NSD Type [ 6, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 2736 NSD Type [ 6, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2736 NSD Type [ 6, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 2736 NSD Type [ 6, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 2736 NSD Type [ 6, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2736 NSD Type [ 6, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2736 NSD Type [ 12, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 2736 NSD Type [ 12, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 2736 NSD Type [ 12, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2736 NSD Type [ 12, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 2736 NSD Type [ 12, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2736 NSD Type [ 18, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2736 NSD Type [ 18, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 2736 NSD Type [ 36, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 2744 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2744 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^7 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2744 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2744 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^14, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^14, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 2744 NSD Type [ 14, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 2752 NSD Type [ 4, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^172 ] Regular 3-polytope with group of order 2752 NSD Type [ 4, 344 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2752 NSD Type [ 4, 344 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^344 ] Regular 3-polytope with group of order 2752 NSD Type [ 8, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^172 ] Regular 3-polytope with group of order 2752 NSD Type [ 8, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^172 ] Regular 3-polytope with group of order 2752 NSD Type [ 16, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 2760 NSD Type [ 4, 345 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^345 ] Regular 3-polytope with group of order 2760 NSD Type [ 6, 115 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2760 NSD Type [ 6, 230 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^230 ] Regular 3-polytope with group of order 2760 NSD Type [ 10, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2760 NSD Type [ 10, 115 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2760 NSD Type [ 10, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 2760 NSD Type [ 30, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 2768 NSD Type [ 4, 346 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^346 ] Regular 3-polytope with group of order 2772 NSD Type [ 6, 231 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^231 ] Regular 3-polytope with group of order 2784 NSD Type [ 4, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 2784 NSD Type [ 4, 348 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^348 ] Regular 3-polytope with group of order 2784 NSD Type [ 4, 348 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2784 NSD Type [ 4, 348 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^348 ] Regular 3-polytope with group of order 2784 NSD Type [ 6, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2784 NSD Type [ 6, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2784 NSD Type [ 6, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^232 ] Regular 3-polytope with group of order 2784 NSD Type [ 8, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^87 ] Regular 3-polytope with group of order 2784 NSD Type [ 8, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 2784 NSD Type [ 12, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2784 NSD Type [ 12, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 2784 NSD Type [ 24, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 2800 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2800 NSD Type [ 4, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2800 NSD Type [ 4, 350 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^350 ] Regular 3-polytope with group of order 2800 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 2800 NSD Type [ 10, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 2800 NSD Type [ 10, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 2800 NSD Type [ 10, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2800 NSD Type [ 14, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 2800 NSD Type [ 20, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 2800 NSD Type [ 20, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 2800 NSD Type [ 20, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 2800 NSD Type [ 28, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 2808 NSD Type [ 4, 351 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^351 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^234 ] Regular 3-polytope with group of order 2808 NSD Type [ 6, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^234 ] Regular 3-polytope with group of order 2808 NSD Type [ 18, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2808 NSD Type [ 18, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 2808 NSD Type [ 26, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^176 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 352 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 4, 352 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^352 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^176 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 8, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^176 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 16, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 2816 NSD Type [ 22, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 2816 NSD Type [ 32, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2816 NSD Type [ 32, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 2832 NSD Type [ 4, 177 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^177 ] Regular 3-polytope with group of order 2832 NSD Type [ 4, 354 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^354 ] Regular 3-polytope with group of order 2832 NSD Type [ 4, 354 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2832 NSD Type [ 4, 354 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^354 ] Regular 3-polytope with group of order 2832 NSD Type [ 6, 177 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2832 NSD Type [ 6, 236 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2832 NSD Type [ 6, 236 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^236 ] Regular 3-polytope with group of order 2832 NSD Type [ 12, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 2840 NSD Type [ 10, 142 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^142 ] Regular 3-polytope with group of order 2844 NSD Type [ 6, 237 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^237 ] Regular 3-polytope with group of order 2848 NSD Type [ 4, 356 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^356 ] Regular 3-polytope with group of order 2848 NSD Type [ 8, 178 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^178 ] Regular 3-polytope with group of order 2856 NSD Type [ 4, 357 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^357 ] Regular 3-polytope with group of order 2856 NSD Type [ 6, 238 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^238 ] Regular 3-polytope with group of order 2856 NSD Type [ 14, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 2856 NSD Type [ 34, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 2864 NSD Type [ 4, 358 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^358 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 3, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 360 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 360 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^360 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 360 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 4, 360 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^360 ] Regular 3-polytope with group of order 2880 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 5, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 5, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2880 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 2880 NSD Type [ 6, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 2880 NSD Type [ 8, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 2880 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 10, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.1)^15, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 15, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 2880 NSD Type [ 16, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 2880 NSD Type [ 16, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 2880 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 18, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2880 NSD Type [ 18, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2880 NSD Type [ 18, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2880 NSD Type [ 18, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 20, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2880 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 2880 NSD Type [ 30, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2880 NSD Type [ 30, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 2880 NSD Type [ 30, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 2880 NSD Type [ 36, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^36 ] Regular 3-polytope with group of order 2880 NSD Type [ 36, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 2888 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^19 ] Regular 3-polytope with group of order 2888 NSD Type [ 4, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 2888 NSD Type [ 38, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^38 ] Regular 3-polytope with group of order 2888 SD Type [ 38, 38 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^38 ] Regular 3-polytope with group of order 2896 NSD Type [ 4, 362 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^362 ] Regular 3-polytope with group of order 2900 NSD Type [ 10, 145 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^145 ] Regular 3-polytope with group of order 2904 NSD Type [ 4, 363 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^363 ] Regular 3-polytope with group of order 2904 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2904 NSD Type [ 6, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 2904 NSD Type [ 6, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 2904 NSD Type [ 6, 242 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^242 ] Regular 3-polytope with group of order 2904 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2904 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2904 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2904 NSD Type [ 12, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2904 NSD Type [ 22, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^22 ] Regular 3-polytope with group of order 2904 NSD Type [ 22, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2904 NSD Type [ 22, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 2912 NSD Type [ 4, 364 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^364 ] Regular 3-polytope with group of order 2912 NSD Type [ 8, 182 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^182 ] Regular 3-polytope with group of order 2912 NSD Type [ 14, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 2912 NSD Type [ 26, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 2912 NSD Type [ 28, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 2916 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 3, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2916 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 6, 243 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^243 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 2916 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 2916 SD Type [ 18, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2916 NSD Type [ 18, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 2916 NSD Type [ 27, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^27 ] Regular 3-polytope with group of order 2920 NSD Type [ 10, 146 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^146 ] Regular 3-polytope with group of order 2928 NSD Type [ 4, 183 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^183 ] Regular 3-polytope with group of order 2928 NSD Type [ 4, 366 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^366 ] Regular 3-polytope with group of order 2928 NSD Type [ 4, 366 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2928 NSD Type [ 4, 366 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^366 ] Regular 3-polytope with group of order 2928 NSD Type [ 6, 183 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2928 NSD Type [ 6, 244 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2928 NSD Type [ 6, 244 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^244 ] Regular 3-polytope with group of order 2928 NSD Type [ 12, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 2940 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15, A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 2940 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2940 NSD Type [ 14, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^14, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 2940 NSD Type [ 14, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2940 NSD Type [ 14, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 2944 NSD Type [ 4, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2944 NSD Type [ 4, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2944 NSD Type [ 4, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^184 ] Regular 3-polytope with group of order 2944 NSD Type [ 4, 368 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2944 NSD Type [ 4, 368 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^368 ] Regular 3-polytope with group of order 2944 NSD Type [ 8, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2944 NSD Type [ 8, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2944 NSD Type [ 8, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2944 NSD Type [ 8, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^184 ] Regular 3-polytope with group of order 2944 NSD Type [ 8, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^184 ] Regular 3-polytope with group of order 2944 NSD Type [ 8, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2944 NSD Type [ 16, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2944 NSD Type [ 16, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 2944 NSD Type [ 32, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 2952 NSD Type [ 4, 369 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^369 ] Regular 3-polytope with group of order 2952 NSD Type [ 6, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2952 NSD Type [ 6, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2952 NSD Type [ 6, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^246 ] Regular 3-polytope with group of order 2952 NSD Type [ 6, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^246 ] Regular 3-polytope with group of order 2952 NSD Type [ 18, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 2960 NSD Type [ 4, 370 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^370 ] Regular 3-polytope with group of order 2960 NSD Type [ 10, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 2960 NSD Type [ 20, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 2968 NSD Type [ 14, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 2976 NSD Type [ 4, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 2976 NSD Type [ 4, 372 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^372 ] Regular 3-polytope with group of order 2976 NSD Type [ 4, 372 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2976 NSD Type [ 4, 372 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^372 ] Regular 3-polytope with group of order 2976 NSD Type [ 6, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2976 NSD Type [ 6, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 2976 NSD Type [ 6, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^248 ] Regular 3-polytope with group of order 2976 NSD Type [ 8, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^93 ] Regular 3-polytope with group of order 2976 NSD Type [ 8, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 2976 NSD Type [ 12, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 2976 NSD Type [ 12, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 2976 NSD Type [ 24, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 2988 NSD Type [ 6, 249 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^249 ] Regular 3-polytope with group of order 2992 NSD Type [ 4, 374 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^374 ] Regular 3-polytope with group of order 2992 NSD Type [ 22, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 2992 NSD Type [ 34, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3000 NSD Type [ 3, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3000 NSD Type [ 3, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3000 NSD Type [ 4, 375 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^375 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 6, 250 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^250 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 3000 NSD Type [ 10, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 3000 NSD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3000 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3000 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3000 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3000 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3000 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3000 NSD Type [ 30, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3000 NSD Type [ 30, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3008 NSD Type [ 4, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^188 ] Regular 3-polytope with group of order 3008 NSD Type [ 4, 376 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3008 NSD Type [ 4, 376 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^376 ] Regular 3-polytope with group of order 3008 NSD Type [ 8, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^188 ] Regular 3-polytope with group of order 3008 NSD Type [ 8, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^188 ] Regular 3-polytope with group of order 3008 NSD Type [ 16, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 3016 NSD Type [ 26, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 3024 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 3, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 3, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 189 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^189 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 378 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 378 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^378 ] Regular 3-polytope with group of order 3024 NSD Type [ 4, 378 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^378 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 252 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 252 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^252 ] Regular 3-polytope with group of order 3024 NSD Type [ 6, 252 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^252 ] Regular 3-polytope with group of order 3024 NSD Type [ 8, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3024 NSD Type [ 8, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3024 NSD Type [ 8, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 8, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 9, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.3 * A.2)^21 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 63 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^63 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 3024 NSD Type [ 12, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 14, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 14, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3024 NSD Type [ 14, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3024 NSD Type [ 18, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3024 NSD Type [ 18, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 18, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 18, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3024 NSD Type [ 18, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3024 NSD Type [ 18, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 28, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 28, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3024 NSD Type [ 36, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3024 NSD Type [ 36, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3024 NSD Type [ 36, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^36 ] Regular 3-polytope with group of order 3040 NSD Type [ 4, 95 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^95 ] Regular 3-polytope with group of order 3040 NSD Type [ 4, 380 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^380 ] Regular 3-polytope with group of order 3040 NSD Type [ 8, 190 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^190 ] Regular 3-polytope with group of order 3040 NSD Type [ 10, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 3040 NSD Type [ 20, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3040 NSD Type [ 38, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3048 NSD Type [ 4, 381 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^381 ] Regular 3-polytope with group of order 3048 NSD Type [ 6, 254 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^254 ] Regular 3-polytope with group of order 3056 NSD Type [ 4, 382 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^382 ] Regular 3-polytope with group of order 3060 NSD Type [ 6, 255 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^255 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 3, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 384 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 384 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^384 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 384 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 4, 384 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^384 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 6, 256 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^256 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 8, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2)^6, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2)^12, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 12, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^16, A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 16, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 24, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3072 NSD Type [ 32, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3080 NSD Type [ 10, 154 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^154 ] Regular 3-polytope with group of order 3080 NSD Type [ 14, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 3080 NSD Type [ 22, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 3088 NSD Type [ 4, 386 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^386 ] Regular 3-polytope with group of order 3096 NSD Type [ 4, 387 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^387 ] Regular 3-polytope with group of order 3096 NSD Type [ 6, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3096 NSD Type [ 6, 258 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3096 NSD Type [ 6, 258 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^258 ] Regular 3-polytope with group of order 3096 NSD Type [ 6, 258 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^258 ] Regular 3-polytope with group of order 3096 NSD Type [ 18, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 3100 NSD Type [ 10, 155 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^155 ] Regular 3-polytope with group of order 3104 NSD Type [ 4, 388 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^388 ] Regular 3-polytope with group of order 3104 NSD Type [ 8, 194 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^194 ] Regular 3-polytope with group of order 3120 NSD Type [ 4, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 4, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 4, 195 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^195 ] Regular 3-polytope with group of order 3120 NSD Type [ 4, 390 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 4, 390 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^390 ] Regular 3-polytope with group of order 3120 NSD Type [ 4, 390 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^390 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 195 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 260 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 6, 260 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^260 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3120 NSD Type [ 10, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 3120 NSD Type [ 12, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 3120 NSD Type [ 20, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 20, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3120 NSD Type [ 26, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3120 NSD Type [ 30, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3120 NSD Type [ 30, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3128 NSD Type [ 34, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 3132 NSD Type [ 6, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^87 ] Regular 3-polytope with group of order 3132 NSD Type [ 6, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3132 NSD Type [ 6, 261 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^261 ] Regular 3-polytope with group of order 3136 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^14 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.3)^14 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^196 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 392 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3136 NSD Type [ 4, 392 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^392 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.1 * A.2 * A.3)^14 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^196 ] Regular 3-polytope with group of order 3136 NSD Type [ 8, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^196 ] Regular 3-polytope with group of order 3136 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^14, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3136 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3136 NSD Type [ 14, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3136 NSD Type [ 14, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3136 NSD Type [ 14, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3136 NSD Type [ 14, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3136 NSD Type [ 16, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 3136 SD Type [ 28, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^28, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3136 NSD Type [ 28, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3144 NSD Type [ 4, 393 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^393 ] Regular 3-polytope with group of order 3144 NSD Type [ 6, 262 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^262 ] Regular 3-polytope with group of order 3152 NSD Type [ 4, 394 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^394 ] Regular 3-polytope with group of order 3160 NSD Type [ 10, 158 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^158 ] Regular 3-polytope with group of order 3168 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3168 NSD Type [ 4, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 4, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 3168 NSD Type [ 4, 396 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^396 ] Regular 3-polytope with group of order 3168 NSD Type [ 4, 396 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 4, 396 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^396 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^264 ] Regular 3-polytope with group of order 3168 NSD Type [ 6, 264 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^264 ] Regular 3-polytope with group of order 3168 NSD Type [ 8, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 8, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^99 ] Regular 3-polytope with group of order 3168 NSD Type [ 8, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 3168 NSD Type [ 12, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 18, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3168 NSD Type [ 18, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 3168 NSD Type [ 22, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3168 NSD Type [ 24, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 3168 NSD Type [ 24, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3168 NSD Type [ 24, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3168 NSD Type [ 24, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3168 NSD Type [ 36, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3184 NSD Type [ 4, 398 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^398 ] Regular 3-polytope with group of order 3192 NSD Type [ 4, 399 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^399 ] Regular 3-polytope with group of order 3192 NSD Type [ 6, 266 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^266 ] Regular 3-polytope with group of order 3192 NSD Type [ 14, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 3192 NSD Type [ 38, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3200 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16, A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.3)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 400 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 4, 400 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^400 ] Regular 3-polytope with group of order 3200 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3200 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 5, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 5, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 3200 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 25 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^25 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 3200 NSD Type [ 8, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 3200 NSD Type [ 10, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 16, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^16, (A.3 * A.2 * A.1 * A.2)^10 ] Regular 3-polytope with group of order 3200 NSD Type [ 16, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3200 NSD Type [ 16, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3200 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3200 NSD Type [ 20, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3200 NSD Type [ 32, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3200 NSD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3200 NSD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 SD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^40, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3200 NSD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^40 ] Regular 3-polytope with group of order 3200 SD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3200 NSD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3200 NSD Type [ 40, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^40 ] Regular 3-polytope with group of order 3204 NSD Type [ 6, 267 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^267 ] Regular 3-polytope with group of order 3216 NSD Type [ 4, 201 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^201 ] Regular 3-polytope with group of order 3216 NSD Type [ 4, 402 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^402 ] Regular 3-polytope with group of order 3216 NSD Type [ 4, 402 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3216 NSD Type [ 4, 402 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^402 ] Regular 3-polytope with group of order 3216 NSD Type [ 6, 201 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3216 NSD Type [ 6, 268 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3216 NSD Type [ 6, 268 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^268 ] Regular 3-polytope with group of order 3216 NSD Type [ 12, 134 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^134 ] Regular 3-polytope with group of order 3224 NSD Type [ 26, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 3232 NSD Type [ 4, 404 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^404 ] Regular 3-polytope with group of order 3232 NSD Type [ 8, 202 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^202 ] Regular 3-polytope with group of order 3240 NSD Type [ 4, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 4, 405 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^405 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 135 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 270 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^270 ] Regular 3-polytope with group of order 3240 NSD Type [ 6, 270 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^270 ] Regular 3-polytope with group of order 3240 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3240 NSD Type [ 10, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 3240 NSD Type [ 10, 135 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 10, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 3240 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3240 NSD Type [ 12, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3240 NSD Type [ 12, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^18, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3240 NSD Type [ 18, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3240 NSD Type [ 30, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3240 NSD Type [ 30, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3248 NSD Type [ 4, 406 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^406 ] Regular 3-polytope with group of order 3248 NSD Type [ 14, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 3248 NSD Type [ 28, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 3256 NSD Type [ 22, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 408 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 408 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^408 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 408 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 4, 408 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^408 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 6, 272 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^272 ] Regular 3-polytope with group of order 3264 NSD Type [ 8, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 3264 NSD Type [ 8, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3264 NSD Type [ 8, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3264 NSD Type [ 8, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3264 NSD Type [ 8, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 3264 NSD Type [ 8, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^204 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 3264 NSD Type [ 12, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3264 NSD Type [ 16, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3264 NSD Type [ 24, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 3264 NSD Type [ 24, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 3264 NSD Type [ 34, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3276 NSD Type [ 6, 273 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^273 ] Regular 3-polytope with group of order 3280 NSD Type [ 4, 410 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^410 ] Regular 3-polytope with group of order 3280 NSD Type [ 10, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 3280 NSD Type [ 20, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 3288 NSD Type [ 4, 411 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^411 ] Regular 3-polytope with group of order 3288 NSD Type [ 6, 274 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^274 ] Regular 3-polytope with group of order 3296 NSD Type [ 4, 412 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^412 ] Regular 3-polytope with group of order 3296 NSD Type [ 8, 206 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^206 ] Regular 3-polytope with group of order 3300 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3300 NSD Type [ 6, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3300 NSD Type [ 10, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 3300 NSD Type [ 10, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3300 NSD Type [ 10, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^165 ] Regular 3-polytope with group of order 3304 NSD Type [ 14, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 3312 NSD Type [ 4, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3312 NSD Type [ 4, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3312 NSD Type [ 4, 207 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^207 ] Regular 3-polytope with group of order 3312 NSD Type [ 4, 414 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^414 ] Regular 3-polytope with group of order 3312 NSD Type [ 4, 414 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3312 NSD Type [ 4, 414 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^414 ] Regular 3-polytope with group of order 3312 NSD Type [ 6, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 3312 NSD Type [ 6, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 3312 NSD Type [ 6, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^276 ] Regular 3-polytope with group of order 3312 NSD Type [ 6, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^276 ] Regular 3-polytope with group of order 3312 NSD Type [ 6, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3312 NSD Type [ 6, 276 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3312 NSD Type [ 12, 69 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^69 ] Regular 3-polytope with group of order 3312 NSD Type [ 12, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 3312 NSD Type [ 12, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3312 NSD Type [ 12, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 3312 NSD Type [ 12, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3312 NSD Type [ 18, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3312 NSD Type [ 18, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 3312 NSD Type [ 36, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 3320 NSD Type [ 10, 166 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^166 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^208 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 416 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 4, 416 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^416 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^208 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 8, 208 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^208 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 16, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3328 NSD Type [ 26, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3328 NSD Type [ 32, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3328 NSD Type [ 32, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3332 NSD Type [ 14, 119 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^119 ] Regular 3-polytope with group of order 3336 NSD Type [ 4, 417 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^417 ] Regular 3-polytope with group of order 3336 NSD Type [ 6, 278 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^278 ] Regular 3-polytope with group of order 3344 NSD Type [ 4, 418 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^418 ] Regular 3-polytope with group of order 3344 NSD Type [ 22, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3344 NSD Type [ 38, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3348 NSD Type [ 6, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^93 ] Regular 3-polytope with group of order 3348 NSD Type [ 6, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3348 NSD Type [ 6, 279 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^279 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^210 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 420 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^420 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 420 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 4, 420 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^420 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 6, 280 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^280 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 3360 NSD Type [ 8, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^210 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 10, 168 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^168 ] Regular 3-polytope with group of order 3360 NSD Type [ 12, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3360 NSD Type [ 12, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 12, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^14, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 14, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3360 NSD Type [ 20, 21 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 20, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3360 NSD Type [ 20, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3360 NSD Type [ 20, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3360 NSD Type [ 24, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 3360 NSD Type [ 28, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3360 NSD Type [ 28, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3360 NSD Type [ 30, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3360 NSD Type [ 30, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3360 NSD Type [ 40, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^40, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3364 NSD Type [ 29, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^29 ] Regular 3-polytope with group of order 3376 NSD Type [ 4, 422 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^422 ] Regular 3-polytope with group of order 3380 NSD Type [ 26, 65 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^65 ] Regular 3-polytope with group of order 3384 NSD Type [ 4, 423 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^423 ] Regular 3-polytope with group of order 3384 NSD Type [ 6, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3384 NSD Type [ 6, 282 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3384 NSD Type [ 6, 282 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^282 ] Regular 3-polytope with group of order 3384 NSD Type [ 6, 282 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^282 ] Regular 3-polytope with group of order 3384 NSD Type [ 18, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 3388 NSD Type [ 22, 77 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^77 ] Regular 3-polytope with group of order 3392 NSD Type [ 4, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^212 ] Regular 3-polytope with group of order 3392 NSD Type [ 4, 424 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3392 NSD Type [ 4, 424 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^424 ] Regular 3-polytope with group of order 3392 NSD Type [ 8, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^212 ] Regular 3-polytope with group of order 3392 NSD Type [ 8, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^212 ] Regular 3-polytope with group of order 3392 NSD Type [ 16, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 3400 NSD Type [ 10, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3400 NSD Type [ 10, 170 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3400 NSD Type [ 10, 170 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^170 ] Regular 3-polytope with group of order 3400 NSD Type [ 10, 170 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^170 ] Regular 3-polytope with group of order 3400 NSD Type [ 34, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3408 NSD Type [ 4, 213 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^213 ] Regular 3-polytope with group of order 3408 NSD Type [ 4, 426 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^426 ] Regular 3-polytope with group of order 3408 NSD Type [ 4, 426 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3408 NSD Type [ 4, 426 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^426 ] Regular 3-polytope with group of order 3408 NSD Type [ 6, 213 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3408 NSD Type [ 6, 284 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3408 NSD Type [ 6, 284 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^284 ] Regular 3-polytope with group of order 3408 NSD Type [ 12, 142 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^142 ] Regular 3-polytope with group of order 3416 NSD Type [ 14, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 3420 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3420 NSD Type [ 3, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3420 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3420 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3420 NSD Type [ 5, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3420 NSD Type [ 5, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 3420 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 3420 NSD Type [ 6, 285 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^285 ] Regular 3-polytope with group of order 3420 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.2)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3420 SD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9, (A.3 * A.2)^9 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.2)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.1)^9, (A.2 * A.3)^10, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^5 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.1)^9, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3420 NSD Type [ 9, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 3420 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3424 NSD Type [ 4, 428 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^428 ] Regular 3-polytope with group of order 3424 NSD Type [ 8, 214 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^214 ] Regular 3-polytope with group of order 3432 NSD Type [ 4, 429 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^429 ] Regular 3-polytope with group of order 3432 NSD Type [ 6, 286 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^286 ] Regular 3-polytope with group of order 3432 NSD Type [ 22, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3432 NSD Type [ 26, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3440 NSD Type [ 4, 430 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^430 ] Regular 3-polytope with group of order 3440 NSD Type [ 10, 172 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^172 ] Regular 3-polytope with group of order 3440 NSD Type [ 20, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 3456 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 3, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.1 * A.2 * A.3 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 432 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 432 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^432 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 432 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 4, 432 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^432 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 288 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^288 ] Regular 3-polytope with group of order 3456 NSD Type [ 6, 288 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^288 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 8, 216 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^216 ] Regular 3-polytope with group of order 3456 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 9, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^144 ] Regular 3-polytope with group of order 3456 NSD Type [ 12, 144 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 16, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 16, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3456 NSD Type [ 18, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3456 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^24, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3456 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3456 SD Type [ 24, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 24, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3456 NSD Type [ 32, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3456 NSD Type [ 36, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 36, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3456 NSD Type [ 36, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^36 ] Regular 3-polytope with group of order 3456 NSD Type [ 36, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^36 ] Regular 3-polytope with group of order 3468 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3468 NSD Type [ 3, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 3468 NSD Type [ 6, 34 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^34 ] Regular 3-polytope with group of order 3468 NSD Type [ 34, 51 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^51 ] Regular 3-polytope with group of order 3472 NSD Type [ 4, 434 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^434 ] Regular 3-polytope with group of order 3472 NSD Type [ 14, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 3472 NSD Type [ 28, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 3480 NSD Type [ 4, 435 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^435 ] Regular 3-polytope with group of order 3480 NSD Type [ 6, 145 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3480 NSD Type [ 6, 290 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^290 ] Regular 3-polytope with group of order 3480 NSD Type [ 10, 87 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3480 NSD Type [ 10, 145 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3480 NSD Type [ 10, 174 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^174 ] Regular 3-polytope with group of order 3480 NSD Type [ 30, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 3488 NSD Type [ 4, 436 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^436 ] Regular 3-polytope with group of order 3488 NSD Type [ 8, 218 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^218 ] Regular 3-polytope with group of order 3492 NSD Type [ 6, 291 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^291 ] Regular 3-polytope with group of order 3496 NSD Type [ 38, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 3500 NSD Type [ 10, 35 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^35 ] Regular 3-polytope with group of order 3500 NSD Type [ 10, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3500 NSD Type [ 10, 175 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^175 ] Regular 3-polytope with group of order 3504 NSD Type [ 4, 219 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^219 ] Regular 3-polytope with group of order 3504 NSD Type [ 4, 438 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^438 ] Regular 3-polytope with group of order 3504 NSD Type [ 4, 438 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3504 NSD Type [ 4, 438 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^438 ] Regular 3-polytope with group of order 3504 NSD Type [ 6, 219 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3504 NSD Type [ 6, 292 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3504 NSD Type [ 6, 292 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^292 ] Regular 3-polytope with group of order 3504 NSD Type [ 12, 146 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^146 ] Regular 3-polytope with group of order 3520 NSD Type [ 4, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^55 ] Regular 3-polytope with group of order 3520 NSD Type [ 4, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3520 NSD Type [ 4, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 3520 NSD Type [ 4, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^220 ] Regular 3-polytope with group of order 3520 NSD Type [ 4, 440 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3520 NSD Type [ 4, 440 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^440 ] Regular 3-polytope with group of order 3520 NSD Type [ 8, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^55 ] Regular 3-polytope with group of order 3520 NSD Type [ 8, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^55 ] Regular 3-polytope with group of order 3520 NSD Type [ 8, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^220 ] Regular 3-polytope with group of order 3520 NSD Type [ 8, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^220 ] Regular 3-polytope with group of order 3520 NSD Type [ 10, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3520 NSD Type [ 10, 55 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3520 NSD Type [ 10, 176 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^176 ] Regular 3-polytope with group of order 3520 NSD Type [ 16, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 3520 NSD Type [ 20, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3520 NSD Type [ 20, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 3520 NSD Type [ 20, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3520 NSD Type [ 22, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3520 NSD Type [ 40, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3520 NSD Type [ 40, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^40, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3528 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^21 ] Regular 3-polytope with group of order 3528 NSD Type [ 4, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 4, 441 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^441 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1 * A.2 * A.3)^14 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 294 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^294 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 294 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 6, 294 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^294 ] Regular 3-polytope with group of order 3528 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3528 NSD Type [ 14, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^14, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3528 NSD Type [ 14, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^14, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 14, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3528 NSD Type [ 14, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 3528 NSD Type [ 14, 126 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^126 ] Regular 3-polytope with group of order 3528 NSD Type [ 18, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 3528 NSD Type [ 42, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^42 ] Regular 3-polytope with group of order 3528 NSD Type [ 42, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3528 NSD Type [ 42, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^42 ] Regular 3-polytope with group of order 3528 NSD Type [ 42, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3528 SD Type [ 42, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^42, (A.2 * A.3)^42 ] Regular 3-polytope with group of order 3536 NSD Type [ 4, 442 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^442 ] Regular 3-polytope with group of order 3536 NSD Type [ 26, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 3536 NSD Type [ 34, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3552 NSD Type [ 4, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^222 ] Regular 3-polytope with group of order 3552 NSD Type [ 4, 444 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^444 ] Regular 3-polytope with group of order 3552 NSD Type [ 4, 444 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3552 NSD Type [ 4, 444 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^444 ] Regular 3-polytope with group of order 3552 NSD Type [ 6, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3552 NSD Type [ 6, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3552 NSD Type [ 6, 296 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^296 ] Regular 3-polytope with group of order 3552 NSD Type [ 8, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^111 ] Regular 3-polytope with group of order 3552 NSD Type [ 8, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^222 ] Regular 3-polytope with group of order 3552 NSD Type [ 12, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3552 NSD Type [ 12, 148 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^148 ] Regular 3-polytope with group of order 3552 NSD Type [ 24, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 3560 NSD Type [ 10, 178 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^178 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^99 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 6, 297 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^297 ] Regular 3-polytope with group of order 3564 NSD Type [ 18, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 3564 NSD Type [ 18, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 18, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 18, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3564 NSD Type [ 18, 99 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^99 ] Regular 3-polytope with group of order 3568 NSD Type [ 4, 446 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^446 ] Regular 3-polytope with group of order 3576 NSD Type [ 4, 447 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^447 ] Regular 3-polytope with group of order 3576 NSD Type [ 6, 298 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^298 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^7, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^224 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 448 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 4, 448 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^448 ] Regular 3-polytope with group of order 3584 SD Type [ 7, 7 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.3 * A.2)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 7, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^7, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^224 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 8, 224 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^224 ] Regular 3-polytope with group of order 3584 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3584 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 3584 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 3584 SD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 14 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3584 NSD Type [ 14, 128 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^128 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 28 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 16, 112 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^112 ] Regular 3-polytope with group of order 3584 NSD Type [ 28, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 3584 NSD Type [ 28, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3584 NSD Type [ 28, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^28, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 28, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3584 NSD Type [ 32, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3584 NSD Type [ 32, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3584 NSD Type [ 32, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^32 ] Regular 3-polytope with group of order 3584 NSD Type [ 32, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3600 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 3, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 3, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 225 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^225 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 450 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^450 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 450 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 4, 450 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^450 ] Regular 3-polytope with group of order 3600 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3600 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 5, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 5, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^20 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^300 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^300 ] Regular 3-polytope with group of order 3600 NSD Type [ 6, 300 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 9, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^180 ] Regular 3-polytope with group of order 3600 NSD Type [ 10, 180 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.1 * A.2 * A.3)^10 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 75 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^75 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^150 ] Regular 3-polytope with group of order 3600 NSD Type [ 12, 150 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 15, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3600 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3600 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3600 NSD Type [ 18, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3600 NSD Type [ 18, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 3600 NSD Type [ 18, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 45 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^45 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3600 NSD Type [ 20, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3600 NSD Type [ 30, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3600 NSD Type [ 36, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3608 NSD Type [ 22, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 3616 NSD Type [ 4, 452 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^452 ] Regular 3-polytope with group of order 3616 NSD Type [ 8, 226 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^226 ] Regular 3-polytope with group of order 3624 NSD Type [ 4, 453 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^453 ] Regular 3-polytope with group of order 3624 NSD Type [ 6, 302 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^302 ] Regular 3-polytope with group of order 3632 NSD Type [ 4, 454 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^454 ] Regular 3-polytope with group of order 3636 NSD Type [ 6, 303 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^303 ] Regular 3-polytope with group of order 3640 NSD Type [ 10, 182 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^182 ] Regular 3-polytope with group of order 3640 NSD Type [ 14, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^130 ] Regular 3-polytope with group of order 3640 NSD Type [ 26, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 456 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 456 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^456 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 456 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 4, 456 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^456 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 6, 304 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^304 ] Regular 3-polytope with group of order 3648 NSD Type [ 8, 57 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^57 ] Regular 3-polytope with group of order 3648 NSD Type [ 8, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 3648 NSD Type [ 8, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 3648 NSD Type [ 8, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3648 NSD Type [ 8, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 3648 NSD Type [ 8, 228 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^228 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^152 ] Regular 3-polytope with group of order 3648 NSD Type [ 12, 152 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3648 NSD Type [ 16, 114 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^114 ] Regular 3-polytope with group of order 3648 NSD Type [ 24, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3648 NSD Type [ 24, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3648 NSD Type [ 38, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3664 NSD Type [ 4, 458 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^458 ] Regular 3-polytope with group of order 3672 NSD Type [ 4, 459 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^459 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 204 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 306 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^306 ] Regular 3-polytope with group of order 3672 NSD Type [ 6, 306 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^306 ] Regular 3-polytope with group of order 3672 NSD Type [ 18, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3672 NSD Type [ 18, 102 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^102 ] Regular 3-polytope with group of order 3672 NSD Type [ 34, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3680 NSD Type [ 4, 115 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^115 ] Regular 3-polytope with group of order 3680 NSD Type [ 4, 460 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^460 ] Regular 3-polytope with group of order 3680 NSD Type [ 8, 230 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^230 ] Regular 3-polytope with group of order 3680 NSD Type [ 10, 184 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^184 ] Regular 3-polytope with group of order 3680 NSD Type [ 20, 92 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^92 ] Regular 3-polytope with group of order 3680 NSD Type [ 40, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^40, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 3696 NSD Type [ 4, 231 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^231 ] Regular 3-polytope with group of order 3696 NSD Type [ 4, 462 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 4, 462 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^462 ] Regular 3-polytope with group of order 3696 NSD Type [ 4, 462 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^462 ] Regular 3-polytope with group of order 3696 NSD Type [ 6, 77 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3696 NSD Type [ 6, 231 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 6, 308 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 6, 308 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^308 ] Regular 3-polytope with group of order 3696 NSD Type [ 8, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 8, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3696 NSD Type [ 8, 77 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 8, 77 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 12, 154 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^154 ] Regular 3-polytope with group of order 3696 NSD Type [ 14, 132 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^132 ] Regular 3-polytope with group of order 3696 NSD Type [ 22, 84 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^84 ] Regular 3-polytope with group of order 3696 NSD Type [ 28, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3696 NSD Type [ 28, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3696 NSD Type [ 42, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 ] Regular 3-polytope with group of order 3696 NSD Type [ 42, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^42, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3700 NSD Type [ 10, 185 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^185 ] Regular 3-polytope with group of order 3708 NSD Type [ 6, 309 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^309 ] Regular 3-polytope with group of order 3712 NSD Type [ 4, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 3712 NSD Type [ 4, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3712 NSD Type [ 4, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^232 ] Regular 3-polytope with group of order 3712 NSD Type [ 4, 464 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3712 NSD Type [ 4, 464 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^464 ] Regular 3-polytope with group of order 3712 NSD Type [ 8, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 3712 NSD Type [ 8, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 3712 NSD Type [ 8, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3712 NSD Type [ 8, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^232 ] Regular 3-polytope with group of order 3712 NSD Type [ 8, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^232 ] Regular 3-polytope with group of order 3712 NSD Type [ 8, 232 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3712 NSD Type [ 16, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 3712 NSD Type [ 16, 116 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^116 ] Regular 3-polytope with group of order 3712 NSD Type [ 32, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 3720 NSD Type [ 4, 465 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^465 ] Regular 3-polytope with group of order 3720 NSD Type [ 6, 155 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3720 NSD Type [ 6, 310 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^310 ] Regular 3-polytope with group of order 3720 NSD Type [ 10, 93 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3720 NSD Type [ 10, 155 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3720 NSD Type [ 10, 186 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^186 ] Regular 3-polytope with group of order 3720 NSD Type [ 30, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 3724 NSD Type [ 14, 133 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.3 * A.2)^133 ] Regular 3-polytope with group of order 3728 NSD Type [ 4, 466 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^466 ] Regular 3-polytope with group of order 3744 NSD Type [ 4, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3744 NSD Type [ 4, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 4, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^234 ] Regular 3-polytope with group of order 3744 NSD Type [ 4, 468 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^468 ] Regular 3-polytope with group of order 3744 NSD Type [ 4, 468 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 4, 468 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^468 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^312 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 6, 312 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^312 ] Regular 3-polytope with group of order 3744 NSD Type [ 8, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 8, 117 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^117 ] Regular 3-polytope with group of order 3744 NSD Type [ 8, 234 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^234 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^156 ] Regular 3-polytope with group of order 3744 NSD Type [ 12, 156 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 18, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 18, 104 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^104 ] Regular 3-polytope with group of order 3744 NSD Type [ 24, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 3744 NSD Type [ 24, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3744 NSD Type [ 24, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3744 NSD Type [ 24, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^78 ] Regular 3-polytope with group of order 3744 NSD Type [ 26, 72 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^72 ] Regular 3-polytope with group of order 3744 NSD Type [ 36, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3752 NSD Type [ 14, 134 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^134 ] Regular 3-polytope with group of order 3760 NSD Type [ 4, 470 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^470 ] Regular 3-polytope with group of order 3760 NSD Type [ 10, 188 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^188 ] Regular 3-polytope with group of order 3760 NSD Type [ 20, 94 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^94 ] Regular 3-polytope with group of order 3768 NSD Type [ 4, 471 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^471 ] Regular 3-polytope with group of order 3768 NSD Type [ 6, 314 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^314 ] Regular 3-polytope with group of order 3776 NSD Type [ 4, 236 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^236 ] Regular 3-polytope with group of order 3776 NSD Type [ 4, 472 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3776 NSD Type [ 4, 472 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^472 ] Regular 3-polytope with group of order 3776 NSD Type [ 8, 236 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^236 ] Regular 3-polytope with group of order 3776 NSD Type [ 8, 236 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^236 ] Regular 3-polytope with group of order 3776 NSD Type [ 16, 118 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^118 ] Regular 3-polytope with group of order 3780 NSD Type [ 6, 105 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^105 ] Regular 3-polytope with group of order 3780 NSD Type [ 6, 210 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3780 NSD Type [ 6, 315 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^315 ] Regular 3-polytope with group of order 3780 NSD Type [ 30, 42 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3784 NSD Type [ 22, 86 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^86 ] Regular 3-polytope with group of order 3792 NSD Type [ 4, 237 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^237 ] Regular 3-polytope with group of order 3792 NSD Type [ 4, 474 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^474 ] Regular 3-polytope with group of order 3792 NSD Type [ 4, 474 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3792 NSD Type [ 4, 474 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^474 ] Regular 3-polytope with group of order 3792 NSD Type [ 6, 237 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3792 NSD Type [ 6, 316 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3792 NSD Type [ 6, 316 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^316 ] Regular 3-polytope with group of order 3792 NSD Type [ 12, 158 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^158 ] Regular 3-polytope with group of order 3800 NSD Type [ 10, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3800 NSD Type [ 10, 190 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3800 NSD Type [ 10, 190 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^190 ] Regular 3-polytope with group of order 3800 NSD Type [ 10, 190 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^190 ] Regular 3-polytope with group of order 3800 NSD Type [ 38, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 3808 NSD Type [ 4, 476 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^476 ] Regular 3-polytope with group of order 3808 NSD Type [ 8, 238 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^238 ] Regular 3-polytope with group of order 3808 NSD Type [ 14, 136 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^136 ] Regular 3-polytope with group of order 3808 NSD Type [ 28, 68 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^68 ] Regular 3-polytope with group of order 3808 NSD Type [ 34, 56 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^56 ] Regular 3-polytope with group of order 3816 NSD Type [ 4, 477 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^477 ] Regular 3-polytope with group of order 3816 NSD Type [ 6, 212 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3816 NSD Type [ 6, 318 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3816 NSD Type [ 6, 318 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^318 ] Regular 3-polytope with group of order 3816 NSD Type [ 6, 318 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^318 ] Regular 3-polytope with group of order 3816 NSD Type [ 18, 106 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^106 ] Regular 3-polytope with group of order 3824 NSD Type [ 4, 478 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^478 ] Regular 3-polytope with group of order 3840 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 480 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 480 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^480 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 480 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 4, 480 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^480 ] Regular 3-polytope with group of order 3840 SD Type [ 5, 5 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 5, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^5, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^15, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 6, 320 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^320 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 8, 240 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^240 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 SD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2)^5, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2)^5, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 32 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^32 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 10, 192 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^192 ] Regular 3-polytope with group of order 3840 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 12, 160 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^160 ] Regular 3-polytope with group of order 3840 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 SD Type [ 15, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^15, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 16 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.1)^15, (A.2 * A.3)^16 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 15, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^15 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^16, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^16 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^16, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 NSD Type [ 16, 120 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^16, (A.2 * A.3)^120 ] Regular 3-polytope with group of order 3840 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^20, (A.2 * A.3)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^20, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 20, 96 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^96 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 30 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^24 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^24, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 24, 80 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^80 ] Regular 3-polytope with group of order 3840 NSD Type [ 30, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 30, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3840 NSD Type [ 30, 64 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^64 ] Regular 3-polytope with group of order 3840 NSD Type [ 32, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 32, 60 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^60 ] Regular 3-polytope with group of order 3840 NSD Type [ 40, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 40, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 40, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3840 NSD Type [ 40, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3840 NSD Type [ 40, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^40 ] Regular 3-polytope with group of order 3840 NSD Type [ 40, 48 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^40, (A.2 * A.3)^48 ] Regular 3-polytope with group of order 3844 NSD Type [ 31, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^31 ] Regular 3-polytope with group of order 3848 NSD Type [ 26, 74 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^74 ] Regular 3-polytope with group of order 3852 NSD Type [ 6, 321 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^321 ] Regular 3-polytope with group of order 3856 NSD Type [ 4, 482 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^482 ] Regular 3-polytope with group of order 3864 NSD Type [ 4, 483 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^483 ] Regular 3-polytope with group of order 3864 NSD Type [ 6, 322 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^322 ] Regular 3-polytope with group of order 3864 NSD Type [ 14, 138 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^138 ] Regular 3-polytope with group of order 3864 NSD Type [ 42, 46 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^42, (A.2 * A.3)^46 ] Regular 3-polytope with group of order 3872 SD Type [ 4, 4 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2)^22 ] Regular 3-polytope with group of order 3872 NSD Type [ 4, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3872 NSD Type [ 4, 484 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^484 ] Regular 3-polytope with group of order 3872 NSD Type [ 8, 22 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^22 ] Regular 3-polytope with group of order 3872 NSD Type [ 8, 242 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^242 ] Regular 3-polytope with group of order 3872 NSD Type [ 22, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 3872 NSD Type [ 22, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^88 ] Regular 3-polytope with group of order 3872 NSD Type [ 22, 88 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^22 ] Regular 3-polytope with group of order 3872 SD Type [ 44, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^44, (A.2 * A.3)^44 ] Regular 3-polytope with group of order 3872 NSD Type [ 44, 44 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^44 ] Regular 3-polytope with group of order 3880 NSD Type [ 10, 194 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^194 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 3, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.2)^9, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 243 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^243 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 486 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^486 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 486 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 4, 486 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^486 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 9 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 324 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^324 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 324 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^324 ] Regular 3-polytope with group of order 3888 NSD Type [ 6, 324 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3888 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3888 SD Type [ 8, 8 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3888 NSD Type [ 8, 24 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, (A.2 * A.3)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 9, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.1 * A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 SD Type [ 12, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 18 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^12, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^12, (A.1 * A.2 * A.3 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 81 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^81 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^162 ] Regular 3-polytope with group of order 3888 NSD Type [ 12, 162 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 27 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.2)^27 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^18 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^36 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.1 * A.2 * A.3)^12 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^108 ] Regular 3-polytope with group of order 3888 NSD Type [ 18, 108 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^18, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3888 NSD Type [ 27, 36 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.1)^27 ] Regular 3-polytope with group of order 3888 NSD Type [ 36, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^36, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3888 NSD Type [ 36, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^54 ] Regular 3-polytope with group of order 3888 NSD Type [ 36, 54 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3900 NSD Type [ 6, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3900 NSD Type [ 6, 130 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3900 NSD Type [ 10, 39 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.2)^39 ] Regular 3-polytope with group of order 3900 NSD Type [ 10, 78 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3900 NSD Type [ 10, 195 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.2)^195 ] Regular 3-polytope with group of order 3904 NSD Type [ 4, 244 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^244 ] Regular 3-polytope with group of order 3904 NSD Type [ 4, 488 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3904 NSD Type [ 4, 488 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^488 ] Regular 3-polytope with group of order 3904 NSD Type [ 8, 244 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^244 ] Regular 3-polytope with group of order 3904 NSD Type [ 8, 244 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^244 ] Regular 3-polytope with group of order 3904 NSD Type [ 16, 122 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^122 ] Regular 3-polytope with group of order 3912 NSD Type [ 4, 489 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^489 ] Regular 3-polytope with group of order 3912 NSD Type [ 6, 326 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^326 ] Regular 3-polytope with group of order 3920 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 3-polytope with group of order 3920 NSD Type [ 4, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3920 NSD Type [ 4, 490 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^490 ] Regular 3-polytope with group of order 3920 NSD Type [ 10, 196 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^196 ] Regular 3-polytope with group of order 3920 NSD Type [ 14, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^14, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 3920 NSD Type [ 14, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3920 NSD Type [ 14, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3920 NSD Type [ 14, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 3920 NSD Type [ 14, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, (A.2 * A.3)^140 ] Regular 3-polytope with group of order 3920 NSD Type [ 14, 140 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^14, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3920 NSD Type [ 20, 98 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^98 ] Regular 3-polytope with group of order 3920 NSD Type [ 28, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^28, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 3920 NSD Type [ 28, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^28 ] Regular 3-polytope with group of order 3920 NSD Type [ 28, 70 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^70 ] Regular 3-polytope with group of order 3924 NSD Type [ 6, 327 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^327 ] Regular 3-polytope with group of order 3936 NSD Type [ 4, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^246 ] Regular 3-polytope with group of order 3936 NSD Type [ 4, 492 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^492 ] Regular 3-polytope with group of order 3936 NSD Type [ 4, 492 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3936 NSD Type [ 4, 492 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^492 ] Regular 3-polytope with group of order 3936 NSD Type [ 6, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3936 NSD Type [ 6, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3936 NSD Type [ 6, 328 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^328 ] Regular 3-polytope with group of order 3936 NSD Type [ 8, 123 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.2)^123 ] Regular 3-polytope with group of order 3936 NSD Type [ 8, 246 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^246 ] Regular 3-polytope with group of order 3936 NSD Type [ 12, 123 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3936 NSD Type [ 12, 164 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^164 ] Regular 3-polytope with group of order 3936 NSD Type [ 24, 82 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^24, (A.2 * A.3)^82 ] Regular 3-polytope with group of order 3944 NSD Type [ 34, 58 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^34, (A.2 * A.3)^58 ] Regular 3-polytope with group of order 3952 NSD Type [ 4, 494 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^494 ] Regular 3-polytope with group of order 3952 NSD Type [ 26, 76 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^26, (A.2 * A.3)^76 ] Regular 3-polytope with group of order 3952 NSD Type [ 38, 52 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^38, (A.2 * A.3)^52 ] Regular 3-polytope with group of order 3960 NSD Type [ 3, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 3, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1)^3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 4, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 3960 NSD Type [ 4, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 3960 NSD Type [ 4, 495 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^495 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 SD Type [ 6, 6 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^10, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 12 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 220 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 330 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 330 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^330 ] Regular 3-polytope with group of order 3960 NSD Type [ 6, 330 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^330 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^33 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, (A.1 * A.2)^10, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 165 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 10, 198 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^198 ] Regular 3-polytope with group of order 3960 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3960 NSD Type [ 12, 15 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 3-polytope with group of order 3960 NSD Type [ 12, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 3-polytope with group of order 3960 NSD Type [ 12, 33 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 3960 NSD Type [ 18, 110 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^18, (A.2 * A.3)^110 ] Regular 3-polytope with group of order 3960 NSD Type [ 22, 90 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^22, (A.2 * A.3)^90 ] Regular 3-polytope with group of order 3960 NSD Type [ 30, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^30 ] Regular 3-polytope with group of order 3960 NSD Type [ 30, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3960 NSD Type [ 30, 66 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^30, (A.2 * A.3)^66 ] Regular 3-polytope with group of order 3968 NSD Type [ 4, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 3968 NSD Type [ 4, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3968 NSD Type [ 4, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^248 ] Regular 3-polytope with group of order 3968 NSD Type [ 4, 496 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3968 NSD Type [ 4, 496 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^496 ] Regular 3-polytope with group of order 3968 NSD Type [ 8, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 3968 NSD Type [ 8, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 3968 NSD Type [ 8, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3968 NSD Type [ 8, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^248 ] Regular 3-polytope with group of order 3968 NSD Type [ 8, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 3968 NSD Type [ 8, 248 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^248 ] Regular 3-polytope with group of order 3968 NSD Type [ 16, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^16, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 3968 NSD Type [ 16, 124 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.2 * A.3)^124 ] Regular 3-polytope with group of order 3968 NSD Type [ 32, 62 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^32, (A.2 * A.3)^62 ] Regular 3-polytope with group of order 3976 NSD Type [ 14, 142 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^14, (A.2 * A.3)^142 ] Regular 3-polytope with group of order 3984 NSD Type [ 4, 249 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^249 ] Regular 3-polytope with group of order 3984 NSD Type [ 4, 498 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^498 ] Regular 3-polytope with group of order 3984 NSD Type [ 4, 498 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3984 NSD Type [ 4, 498 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^498 ] Regular 3-polytope with group of order 3984 NSD Type [ 6, 249 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3984 NSD Type [ 6, 332 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3984 NSD Type [ 6, 332 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^332 ] Regular 3-polytope with group of order 3984 NSD Type [ 12, 166 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.2 * A.3)^166 ] Regular 3-polytope with group of order 3996 NSD Type [ 6, 111 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^111 ] Regular 3-polytope with group of order 3996 NSD Type [ 6, 222 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 3996 NSD Type [ 6, 333 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.2)^333 ] Regular 3-polytope with group of order 4000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 4000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^10, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 4000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^10 ] Regular 3-polytope with group of order 4000 NSD Type [ 4, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 3-polytope with group of order 4000 NSD Type [ 4, 125 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.2)^125 ] Regular 3-polytope with group of order 4000 NSD Type [ 4, 500 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^500 ] Regular 3-polytope with group of order 4000 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 3-polytope with group of order 4000 NSD Type [ 8, 10 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 8, 250 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^250 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^10, (A.2 * A.3)^40 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 40 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 4000 NSD Type [ 10, 200 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^10, (A.2 * A.3)^200 ] Regular 3-polytope with group of order 4000 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 4000 SD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.1 * A.2)^20, (A.2 * A.3)^20 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^20 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2)^20, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 20 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^20, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 4000 NSD Type [ 20, 100 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^100 ] Regular 3-polytope with group of order 4000 NSD Type [ 40, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^40, (A.2 * A.3)^50 ] Regular 3-polytope with group of order 4000 NSD Type [ 40, 50 ] [ A.1^2, A.2^2, A.3^2, (A.1 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3)^50 ] Minimum order for self-dual regular 3-polytopes = 24 Minimum order for non-self-dual regular 3-polytopes = 24 Rank 4 ...... Regular 4-polytope with group of order 96 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 108 SD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 120 SD Type [ 3, 3, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.3)^3 ] Regular 4-polytope with group of order 128 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4 ] Regular 4-polytope with group of order 144 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 144 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 192 NSD Type [ 3, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 192 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 192 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4 ] Regular 4-polytope with group of order 192 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 192 NSD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 192 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 192 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 192 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 192 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 192 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 192 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 216 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 216 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 216 SD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 240 NSD Type [ 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 240 SD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 256 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 256 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 256 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 256 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 256 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 256 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 288 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 288 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 288 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 288 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 288 SD Type [ 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 288 SD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 320 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 320 SD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 324 NSD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 324 NSD Type [ 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 360 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 384 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 384 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 384 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 384 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 384 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 384 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 384 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6 ] Regular 4-polytope with group of order 384 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 400 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^5 ] Regular 4-polytope with group of order 432 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 432 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 432 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 432 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 432 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 432 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 432 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 432 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 432 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 432 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 432 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 432 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 432 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 432 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 448 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 448 SD Type [ 4, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 480 NSD Type [ 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 480 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 480 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 480 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 480 SD Type [ 3, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.3)^5, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 480 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 480 SD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 480 SD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 480 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 500 SD Type [ 5, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^5 ] Regular 4-polytope with group of order 504 NSD Type [ 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 512 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 512 SD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 512 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 512 SD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 512 SD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 512 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 512 SD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 540 NSD Type [ 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 576 SD Type [ 3, 4, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 576 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 576 SD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 576 SD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 576 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 576 SD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 576 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 576 SD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 600 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 640 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 640 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 640 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 640 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 640 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 640 SD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 640 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 640 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 648 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 648 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 648 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 648 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 648 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 648 SD Type [ 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 660 SD Type [ 3, 5, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 672 NSD Type [ 3, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 672 NSD Type [ 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 672 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 672 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 672 NSD Type [ 4, 14, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 672 SD Type [ 4, 21, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 672 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 704 NSD Type [ 4, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 704 SD Type [ 4, 22, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^6, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.4 * A.3 * A.2 * A.3)^3, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 720 NSD Type [ 3, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 720 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.4 * A.3 * A.2 * A.3)^3, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 720 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 720 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 720 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 720 NSD Type [ 5, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 720 NSD Type [ 5, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 720 NSD Type [ 5, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 720 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 720 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 720 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 720 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 720 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 720 SD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 756 NSD Type [ 3, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 768 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 768 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 768 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 768 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 768 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 768 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 768 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 784 NSD Type [ 4, 14, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^7 ] Regular 4-polytope with group of order 792 NSD Type [ 3, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 800 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 800 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 800 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 800 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 800 NSD Type [ 5, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 800 SD Type [ 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 832 NSD Type [ 4, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 832 SD Type [ 4, 26, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 864 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 864 SD Type [ 4, 27, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 864 SD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 864 SD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 864 SD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 864 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 864 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 896 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 896 NSD Type [ 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 896 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 896 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 896 NSD Type [ 4, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 896 SD Type [ 4, 28, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 896 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 896 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 936 NSD Type [ 3, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 3, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.3)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 960 SD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 960 SD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 960 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 960 SD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 960 NSD Type [ 5, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 960 NSD Type [ 5, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 960 NSD Type [ 5, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 960 NSD Type [ 5, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 960 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 960 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 960 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 960 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 972 SD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 972 NSD Type [ 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 972 NSD Type [ 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 972 NSD Type [ 3, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 972 SD Type [ 9, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1000 NSD Type [ 5, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1000 NSD Type [ 5, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1000 SD Type [ 10, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1008 NSD Type [ 3, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1008 NSD Type [ 4, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 1008 NSD Type [ 4, 21, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 1008 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1008 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1008 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1008 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1008 SD Type [ 6, 14, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1024 SD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 SD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1024 SD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 1024 SD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1024 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1024 SD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1056 NSD Type [ 3, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1056 NSD Type [ 3, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1056 NSD Type [ 4, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1056 NSD Type [ 4, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1056 NSD Type [ 4, 22, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 1056 SD Type [ 4, 33, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^33 ] Regular 4-polytope with group of order 1056 NSD Type [ 6, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1080 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1080 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1080 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1080 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1080 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1080 SD Type [ 6, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1080 NSD Type [ 9, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1088 NSD Type [ 4, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1088 SD Type [ 4, 34, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 1120 NSD Type [ 4, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1120 NSD Type [ 4, 14, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1120 NSD Type [ 10, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1152 SD Type [ 3, 4, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 SD Type [ 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 9, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1152 SD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1152 SD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 SD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1152 SD Type [ 6, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1152 NSD Type [ 8, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1152 NSD Type [ 8, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 8, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1152 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 1152 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1152 SD Type [ 12, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1176 NSD Type [ 6, 14, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.4 * A.3)^7 ] Regular 4-polytope with group of order 1188 NSD Type [ 3, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 1200 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1200 NSD Type [ 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1200 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 3, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 4, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1200 NSD Type [ 4, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1200 NSD Type [ 5, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 5, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 5, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 5, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 5, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1200 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1200 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1200 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1200 SD Type [ 10, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1216 NSD Type [ 4, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1216 SD Type [ 4, 38, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 1224 NSD Type [ 3, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1248 NSD Type [ 3, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1248 NSD Type [ 3, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1248 NSD Type [ 4, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1248 NSD Type [ 4, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1248 NSD Type [ 4, 26, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 1248 SD Type [ 4, 39, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^39 ] Regular 4-polytope with group of order 1248 NSD Type [ 6, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.3)^5, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1280 SD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1280 NSD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1280 SD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1280 SD Type [ 8, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 1280 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1296 NSD Type [ 3, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 3, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1296 NSD Type [ 4, 27, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1296 SD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1296 SD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1296 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1296 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1320 NSD Type [ 3, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1320 NSD Type [ 3, 10, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1344 NSD Type [ 3, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1344 NSD Type [ 3, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1344 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1344 NSD Type [ 3, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 3, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 14, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 21, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 1344 SD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1344 SD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 1344 NSD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 1344 SD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 1344 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 6, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1344 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 6, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 6, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 8, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1344 NSD Type [ 12, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1368 NSD Type [ 3, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1372 SD Type [ 7, 14, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.1)^7, (A.4 * A.3)^7 ] Regular 4-polytope with group of order 1400 NSD Type [ 5, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1404 NSD Type [ 3, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 1408 NSD Type [ 4, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1408 NSD Type [ 4, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 1408 NSD Type [ 4, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1408 NSD Type [ 4, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1408 NSD Type [ 4, 22, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 1408 SD Type [ 4, 44, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 1408 NSD Type [ 8, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1408 NSD Type [ 8, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.4 * A.3 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 3, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.4 * A.3 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 SD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1440 SD Type [ 4, 45, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^45 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 5, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1440 SD Type [ 6, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1440 NSD Type [ 8, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1440 NSD Type [ 9, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 10, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1440 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1440 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 1440 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1472 NSD Type [ 4, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 1472 SD Type [ 4, 46, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^46 ] Regular 4-polytope with group of order 1500 NSD Type [ 3, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^5 ] Regular 4-polytope with group of order 1500 NSD Type [ 5, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1512 NSD Type [ 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1512 NSD Type [ 3, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 1512 NSD Type [ 3, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 1512 NSD Type [ 6, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 1512 NSD Type [ 6, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 1512 SD Type [ 6, 21, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 1512 NSD Type [ 9, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 3, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 32, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 32, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 SD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1536 SD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 SD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1536 SD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 SD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 1536 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1568 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1568 NSD Type [ 4, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1568 NSD Type [ 4, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1568 NSD Type [ 4, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1568 NSD Type [ 7, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1568 SD Type [ 14, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1584 NSD Type [ 3, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 1584 NSD Type [ 4, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 1584 NSD Type [ 4, 33, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^33 ] Regular 4-polytope with group of order 1584 NSD Type [ 6, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1584 NSD Type [ 6, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1584 NSD Type [ 6, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1584 NSD Type [ 6, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1584 SD Type [ 6, 22, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1600 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1600 SD Type [ 4, 50, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^50 ] Regular 4-polytope with group of order 1600 NSD Type [ 5, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1600 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1600 NSD Type [ 8, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1600 NSD Type [ 8, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1600 NSD Type [ 8, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1600 NSD Type [ 10, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1600 SD Type [ 10, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1620 NSD Type [ 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1620 NSD Type [ 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1620 NSD Type [ 3, 6, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 1620 NSD Type [ 9, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1632 NSD Type [ 3, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1632 NSD Type [ 3, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1632 NSD Type [ 4, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1632 NSD Type [ 4, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1632 NSD Type [ 4, 34, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 1632 SD Type [ 4, 51, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^51 ] Regular 4-polytope with group of order 1632 NSD Type [ 6, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 1656 NSD Type [ 3, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 1664 NSD Type [ 4, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1664 NSD Type [ 4, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 1664 NSD Type [ 4, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1664 NSD Type [ 4, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1664 NSD Type [ 4, 26, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 1664 SD Type [ 4, 52, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^52 ] Regular 4-polytope with group of order 1664 NSD Type [ 8, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1664 NSD Type [ 8, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1680 NSD Type [ 3, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1680 NSD Type [ 3, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 5, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 5, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 5, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 5, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 6, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 6, 14, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1680 NSD Type [ 10, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 SD Type [ 3, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 3, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 27, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 SD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 1728 SD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 SD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2^2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 9, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 1728 SD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1728 SD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1728 SD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1728 NSD Type [ 8, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 8, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 NSD Type [ 9, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 9, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1728 NSD Type [ 12, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1728 SD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 1728 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1728 SD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6 ] Regular 4-polytope with group of order 1728 SD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1760 NSD Type [ 4, 10, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1760 NSD Type [ 4, 22, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 1760 NSD Type [ 10, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 14, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 28, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 1792 SD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1792 NSD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1792 SD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^56 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 1792 SD Type [ 8, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 14, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 1792 NSD Type [ 14, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1800 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1800 NSD Type [ 3, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 1800 NSD Type [ 3, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1800 NSD Type [ 5, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1800 NSD Type [ 6, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1800 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1800 NSD Type [ 6, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1800 NSD Type [ 6, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1800 NSD Type [ 10, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1824 NSD Type [ 3, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1824 NSD Type [ 3, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1824 NSD Type [ 4, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1824 NSD Type [ 4, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1824 NSD Type [ 4, 38, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 1824 SD Type [ 4, 57, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^57 ] Regular 4-polytope with group of order 1824 NSD Type [ 6, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 1836 NSD Type [ 3, 6, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^51 ] Regular 4-polytope with group of order 1856 NSD Type [ 4, 4, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 1856 SD Type [ 4, 58, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^58 ] Regular 4-polytope with group of order 1872 NSD Type [ 3, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 1872 NSD Type [ 4, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 1872 NSD Type [ 4, 39, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^39 ] Regular 4-polytope with group of order 1872 NSD Type [ 6, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1872 NSD Type [ 6, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1872 NSD Type [ 6, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1872 NSD Type [ 6, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 1872 SD Type [ 6, 26, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 3, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 3, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.3)^5, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 5, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.2)^5, (A.4 * A.3)^5, A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 8, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 10, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1920 SD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 1920 SD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 1920 SD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 SD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 5, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 SD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 SD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 1920 NSD Type [ 12, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 1936 NSD Type [ 4, 22, 11 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^11 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 1944 NSD Type [ 3, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 SD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 3, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 1944 NSD Type [ 6, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 1944 SD Type [ 6, 27, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 1944 NSD Type [ 9, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1944 NSD Type [ 9, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 1960 NSD Type [ 7, 14, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 1984 NSD Type [ 4, 4, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 1984 SD Type [ 4, 62, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^62 ] Regular 4-polytope with group of order 2000 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2000 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2000 NSD Type [ 4, 10, 25 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.4 * A.3)^25 ] Regular 4-polytope with group of order 2000 NSD Type [ 5, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2000 NSD Type [ 5, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2000 NSD Type [ 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2000 NSD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2000 SD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2000 NSD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2000 SD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2000 SD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 6, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2016 NSD Type [ 3, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 14, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 18, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 18, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 21, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2016 SD Type [ 4, 63, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^63 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 6, 14, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 2016 SD Type [ 6, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 2016 NSD Type [ 8, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2016 NSD Type [ 9, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 12, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 12, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 12, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2016 NSD Type [ 14, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 4, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.4 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 64, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 4, 64, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 SD Type [ 4, 64, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^64 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8, A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2048 SD Type [ 8, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2048 SD Type [ 16, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2048 NSD Type [ 16, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2048 SD Type [ 16, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2052 NSD Type [ 3, 6, 57 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^57 ] Regular 4-polytope with group of order 2080 NSD Type [ 4, 10, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2080 NSD Type [ 4, 26, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 2080 NSD Type [ 10, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2088 NSD Type [ 3, 6, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 2112 NSD Type [ 3, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2112 NSD Type [ 3, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2112 NSD Type [ 3, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 3, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 4, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 4, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 4, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 22, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 33, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^33 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 44, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 2112 SD Type [ 4, 66, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 66, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2112 SD Type [ 4, 66, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 2112 NSD Type [ 4, 66, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 2112 SD Type [ 4, 66, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 2112 NSD Type [ 6, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 6, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2112 NSD Type [ 6, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 6, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 6, 22, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 8, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2112 NSD Type [ 12, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2160 SD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.4 * A.3 * A.2 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 2160 SD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 6, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 2160 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.4 * A.3 * A.2 * A.3)^3, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2160 NSD Type [ 4, 45, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^45 ] Regular 4-polytope with group of order 2160 NSD Type [ 5, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 5, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 5, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 5, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2160 SD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2160 SD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2160 SD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2160 NSD Type [ 9, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2160 NSD Type [ 10, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 10, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2160 NSD Type [ 12, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2160 NSD Type [ 12, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2176 NSD Type [ 4, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2176 NSD Type [ 4, 4, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 2176 NSD Type [ 4, 8, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2176 NSD Type [ 4, 8, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2176 NSD Type [ 4, 34, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 2176 SD Type [ 4, 68, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^68 ] Regular 4-polytope with group of order 2176 NSD Type [ 8, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2176 NSD Type [ 8, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2200 NSD Type [ 5, 10, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2208 NSD Type [ 3, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2208 NSD Type [ 3, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2208 NSD Type [ 4, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2208 NSD Type [ 4, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2208 NSD Type [ 4, 46, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^46 ] Regular 4-polytope with group of order 2208 SD Type [ 4, 69, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^69 ] Regular 4-polytope with group of order 2208 NSD Type [ 6, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2232 NSD Type [ 3, 6, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 2240 NSD Type [ 4, 4, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 2240 NSD Type [ 4, 10, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2240 NSD Type [ 4, 14, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2240 NSD Type [ 4, 20, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2240 NSD Type [ 4, 28, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 2240 SD Type [ 4, 70, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^70 ] Regular 4-polytope with group of order 2240 NSD Type [ 8, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2240 NSD Type [ 8, 14, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 2240 NSD Type [ 10, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2240 NSD Type [ 10, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2240 NSD Type [ 14, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2268 NSD Type [ 3, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2268 NSD Type [ 3, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2268 NSD Type [ 3, 6, 63 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^63 ] Regular 4-polytope with group of order 2268 NSD Type [ 9, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 6, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 2304 SD Type [ 3, 8, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 3, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2^2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 4, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.4 * A.3 * A.2 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 9, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 9, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 9, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 16, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 16, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 18, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 SD Type [ 4, 72, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 SD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 SD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2304 SD Type [ 6, 32, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.4 * A.3 * A.2 * A.3)^6 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 SD Type [ 8, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 9, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2304 SD Type [ 12, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 12, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 SD Type [ 12, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2304 NSD Type [ 16, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2304 NSD Type [ 16, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2352 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2352 NSD Type [ 3, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 2352 NSD Type [ 4, 3, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2352 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2352 NSD Type [ 4, 14, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2352 NSD Type [ 4, 21, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 2352 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2352 NSD Type [ 6, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 2352 NSD Type [ 6, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2352 NSD Type [ 6, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2352 NSD Type [ 7, 14, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2352 SD Type [ 14, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2368 NSD Type [ 4, 4, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 2368 SD Type [ 4, 74, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^74 ] Regular 4-polytope with group of order 2376 NSD Type [ 3, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2376 NSD Type [ 3, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 2376 NSD Type [ 3, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 2376 NSD Type [ 6, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 2376 NSD Type [ 6, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 2376 SD Type [ 6, 33, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^33 ] Regular 4-polytope with group of order 2376 NSD Type [ 9, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 3, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 4, 50, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^50 ] Regular 4-polytope with group of order 2400 SD Type [ 4, 75, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^75 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 5, 10, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2400 SD Type [ 6, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 8, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2400 NSD Type [ 10, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2400 SD Type [ 10, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2432 NSD Type [ 4, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2432 NSD Type [ 4, 4, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 2432 NSD Type [ 4, 8, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2432 NSD Type [ 4, 8, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2432 NSD Type [ 4, 38, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 2432 SD Type [ 4, 76, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^76 ] Regular 4-polytope with group of order 2432 NSD Type [ 8, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2432 NSD Type [ 8, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2448 NSD Type [ 3, 6, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 2448 NSD Type [ 4, 6, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^51 ] Regular 4-polytope with group of order 2448 NSD Type [ 4, 51, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^51 ] Regular 4-polytope with group of order 2448 NSD Type [ 6, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2448 NSD Type [ 6, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2448 NSD Type [ 6, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2448 NSD Type [ 6, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2448 SD Type [ 6, 34, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 2464 NSD Type [ 4, 14, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2464 NSD Type [ 4, 22, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 2464 NSD Type [ 14, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2484 NSD Type [ 3, 6, 69 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^69 ] Regular 4-polytope with group of order 2496 NSD Type [ 3, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 2496 NSD Type [ 3, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 2496 NSD Type [ 3, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 3, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 4, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 4, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 4, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 26, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 39, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^39 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 52, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^52 ] Regular 4-polytope with group of order 2496 SD Type [ 4, 78, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 78, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 2496 SD Type [ 4, 78, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2496 NSD Type [ 4, 78, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2496 SD Type [ 4, 78, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 2496 NSD Type [ 6, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 6, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 2496 NSD Type [ 6, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 6, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 6, 26, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 8, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2496 NSD Type [ 12, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2500 NSD Type [ 5, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.3)^5, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2500 NSD Type [ 5, 10, 25 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^25 ] Regular 4-polytope with group of order 2520 NSD Type [ 3, 6, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 2520 NSD Type [ 10, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2520 NSD Type [ 14, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.3)^5, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 4, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 2560 SD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 10, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 16, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 16, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 16, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 16, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 SD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 20, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 32, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 32, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 2560 SD Type [ 4, 80, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 4, 80, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2560 SD Type [ 4, 80, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^80 ] Regular 4-polytope with group of order 2560 NSD Type [ 5, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 2560 NSD Type [ 5, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2560 SD Type [ 8, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 8, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 SD Type [ 8, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^10, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2560 NSD Type [ 10, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2560 NSD Type [ 16, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2560 NSD Type [ 16, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 6, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 3, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.1 * A.4 * A.2 * A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 3, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2592 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.2)^9, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.2)^9, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 27, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 2592 SD Type [ 4, 81, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^81 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 SD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 SD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2592 SD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2592 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 2592 NSD Type [ 8, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2592 NSD Type [ 9, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 9, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 9, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2592 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2592 SD Type [ 18, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2600 NSD Type [ 5, 10, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2624 NSD Type [ 4, 4, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 2624 SD Type [ 4, 82, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^82 ] Regular 4-polytope with group of order 2640 NSD Type [ 3, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2640 NSD Type [ 3, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2640 NSD Type [ 3, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2640 NSD Type [ 3, 10, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2640 NSD Type [ 5, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2640 NSD Type [ 5, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2640 NSD Type [ 5, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2640 NSD Type [ 5, 10, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2640 SD Type [ 6, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^5, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2640 NSD Type [ 6, 10, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2640 NSD Type [ 6, 22, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 2640 NSD Type [ 10, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2664 NSD Type [ 3, 6, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 6, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 12, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 3, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.3)^7, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 4, 84 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^84 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3)^7, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^7, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 6, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^7, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3)^7, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 8, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 12, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 14, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 14, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^7, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 14, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2688 SD Type [ 4, 21, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 21, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 21, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 24, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 24, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 24, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 24, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 28, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 42, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 42, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 42, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 56, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 56, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^56 ] Regular 4-polytope with group of order 2688 SD Type [ 4, 84, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^84 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 84, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 84, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^84 ] Regular 4-polytope with group of order 2688 SD Type [ 4, 84, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 4, 84, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2688 SD Type [ 4, 84, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^84 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 14, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^14, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 6, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 8, 14, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^12, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 12, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 14, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 2688 NSD Type [ 14, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2688 NSD Type [ 14, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2700 NSD Type [ 3, 6, 75 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^75 ] Regular 4-polytope with group of order 2700 SD Type [ 15, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2704 NSD Type [ 4, 26, 13 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^13 ] Regular 4-polytope with group of order 2720 NSD Type [ 4, 10, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2720 NSD Type [ 4, 34, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 2720 NSD Type [ 10, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 2736 NSD Type [ 3, 6, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 2736 NSD Type [ 4, 6, 57 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^57 ] Regular 4-polytope with group of order 2736 NSD Type [ 4, 57, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^57 ] Regular 4-polytope with group of order 2736 NSD Type [ 6, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2736 NSD Type [ 6, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2736 NSD Type [ 6, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2736 NSD Type [ 6, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 2736 SD Type [ 6, 38, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 2744 NSD Type [ 7, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2744 NSD Type [ 7, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.1)^7, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2744 SD Type [ 14, 7, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2)^7 ] Regular 4-polytope with group of order 2752 NSD Type [ 4, 4, 86 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^86 ] Regular 4-polytope with group of order 2752 SD Type [ 4, 86, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^86 ] Regular 4-polytope with group of order 2784 NSD Type [ 3, 4, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 2784 NSD Type [ 3, 6, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 2784 NSD Type [ 4, 6, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 2784 NSD Type [ 4, 6, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 2784 NSD Type [ 4, 58, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^58 ] Regular 4-polytope with group of order 2784 SD Type [ 4, 87, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^87 ] Regular 4-polytope with group of order 2784 NSD Type [ 6, 4, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 2800 NSD Type [ 4, 10, 35 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.4 * A.3)^35 ] Regular 4-polytope with group of order 2800 NSD Type [ 5, 10, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 2800 NSD Type [ 10, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2800 NSD Type [ 10, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2800 NSD Type [ 10, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2800 NSD Type [ 10, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 2800 SD Type [ 10, 14, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^10, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 2808 NSD Type [ 3, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2808 NSD Type [ 3, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 2808 NSD Type [ 3, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 2808 NSD Type [ 6, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 2808 NSD Type [ 6, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 2808 SD Type [ 6, 39, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^39 ] Regular 4-polytope with group of order 2808 NSD Type [ 9, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 4, 88 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 4, 88 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^88 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 8, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 8, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 8, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 8, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 16, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 16, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 22, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 44, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 44, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 44, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 2816 SD Type [ 4, 88, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2816 NSD Type [ 4, 88, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2816 SD Type [ 4, 88, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^88 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 8, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 SD Type [ 8, 22, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 16, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2816 NSD Type [ 16, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 6, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 10, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 3, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 SD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 4, 90 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^90 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^10, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 8, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.3)^5, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, (A.2 * A.3)^10, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 10, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 15, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 18, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 18, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 18, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 20, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 36, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 36, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 36, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 45, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^45 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 2880 SD Type [ 4, 90, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^90 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 90, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^90 ] Regular 4-polytope with group of order 2880 SD Type [ 4, 90, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 4, 90, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 SD Type [ 4, 90, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^90 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 10, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 5, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 10, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 6, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 2880 SD Type [ 6, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 2880 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 8, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 2880 NSD Type [ 8, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 8, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 8, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2880 NSD Type [ 8, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 2880 NSD Type [ 9, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 9, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 2880 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 12, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 2880 NSD Type [ 12, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 2880 NSD Type [ 12, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 12, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 12, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 NSD Type [ 12, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2880 SD Type [ 12, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 2880 NSD Type [ 15, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 2880 NSD Type [ 18, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^18, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 2904 NSD Type [ 6, 22, 11 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.4 * A.3)^11 ] Regular 4-polytope with group of order 2912 NSD Type [ 4, 14, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2912 NSD Type [ 4, 26, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 2912 NSD Type [ 14, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 2916 SD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 2916 NSD Type [ 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2916 NSD Type [ 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2916 NSD Type [ 3, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 2916 NSD Type [ 3, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 2916 NSD Type [ 3, 6, 81 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^81 ] Regular 4-polytope with group of order 2916 SD Type [ 3, 18, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 2916 NSD Type [ 3, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9, A.4 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 2916 NSD Type [ 9, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^9, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2916 NSD Type [ 9, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 2916 SD Type [ 9, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.1)^9, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 2944 NSD Type [ 4, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2944 NSD Type [ 4, 4, 92 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^92 ] Regular 4-polytope with group of order 2944 NSD Type [ 4, 8, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2944 NSD Type [ 4, 8, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2944 NSD Type [ 4, 46, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^46 ] Regular 4-polytope with group of order 2944 SD Type [ 4, 92, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^92 ] Regular 4-polytope with group of order 2944 NSD Type [ 8, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2944 NSD Type [ 8, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 2952 NSD Type [ 3, 6, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 2976 NSD Type [ 3, 4, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 2976 NSD Type [ 3, 6, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 2976 NSD Type [ 4, 6, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 2976 NSD Type [ 4, 6, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 2976 NSD Type [ 4, 62, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^62 ] Regular 4-polytope with group of order 2976 SD Type [ 4, 93, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^93 ] Regular 4-polytope with group of order 2976 NSD Type [ 6, 4, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 3000 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3000 NSD Type [ 3, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3000 NSD Type [ 3, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3000 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3000 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 3000 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3000 NSD Type [ 5, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3000 NSD Type [ 5, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3000 NSD Type [ 6, 10, 25 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.4 * A.3)^25 ] Regular 4-polytope with group of order 3000 NSD Type [ 10, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3000 NSD Type [ 10, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3000 SD Type [ 10, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3008 NSD Type [ 4, 4, 94 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^94 ] Regular 4-polytope with group of order 3008 SD Type [ 4, 94, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^94 ] Regular 4-polytope with group of order 3024 NSD Type [ 3, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3024 NSD Type [ 3, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3024 NSD Type [ 3, 6, 84 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^84 ] Regular 4-polytope with group of order 3024 NSD Type [ 3, 6, 84 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^84 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 6, 63 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^63 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 21, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3024 NSD Type [ 4, 63, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^63 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 14, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^14, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 18, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^14, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 18, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^14, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 28, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3024 SD Type [ 6, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3024 SD Type [ 6, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 6, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 3024 SD Type [ 6, 42, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 3024 NSD Type [ 9, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3024 NSD Type [ 12, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3024 NSD Type [ 12, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3024 NSD Type [ 14, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3024 NSD Type [ 14, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3040 NSD Type [ 4, 10, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3040 NSD Type [ 4, 38, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 3040 NSD Type [ 10, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^8, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 4, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.3 * A.4)^8, (A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 6, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 12, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^8, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 3, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 96 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 4, 96 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^96 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3)^3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3)^3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 6, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 8, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 12, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1^2 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 16, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 24, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 32, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 32, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 32, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 32, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 32, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 32, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 48, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 64, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 64, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^64 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^96 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^96 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 4, 96, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^96 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 4, 64 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^64 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 8, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^16, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 16, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 6, 32, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.1 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 NSD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3072 SD Type [ 8, 24, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3072 NSD Type [ 12, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 16, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3072 NSD Type [ 16, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 NSD Type [ 16, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^16 ] Regular 4-polytope with group of order 3072 NSD Type [ 16, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3072 SD Type [ 16, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^16, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3096 NSD Type [ 3, 6, 86 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^86 ] Regular 4-polytope with group of order 3120 NSD Type [ 3, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3120 NSD Type [ 3, 10, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 5, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 5, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 5, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 5, 10, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 6, 10, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 6, 26, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 3120 NSD Type [ 10, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3132 NSD Type [ 3, 6, 87 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^87 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 4, 98 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^98 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 14, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 14, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 14, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 28, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 28, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3136 NSD Type [ 4, 28, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3136 SD Type [ 4, 98, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^98 ] Regular 4-polytope with group of order 3136 NSD Type [ 7, 14, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3136 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3136 NSD Type [ 8, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 8, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 8, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3136 NSD Type [ 14, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3136 SD Type [ 14, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3168 NSD Type [ 3, 4, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 3, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 3, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 3, 6, 88 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^88 ] Regular 4-polytope with group of order 3168 NSD Type [ 3, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 6, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 18, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 18, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 22, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 33, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^33 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 44, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 66, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 66, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 66, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 66, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 66, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 4, 66, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^66 ] Regular 4-polytope with group of order 3168 SD Type [ 4, 99, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^99 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 4, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 4, 66 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^66 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 6, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 12, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 6, 22, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 3168 SD Type [ 6, 44, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 3168 NSD Type [ 8, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 3168 NSD Type [ 9, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 12, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 12, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 12, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3168 NSD Type [ 18, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^18, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2 * A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 4, 100 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^100 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 8, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 8, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 10, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 20, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^20, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 4, 50, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^50 ] Regular 4-polytope with group of order 3200 SD Type [ 4, 100, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^100 ] Regular 4-polytope with group of order 3200 NSD Type [ 5, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 5, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 5, 10, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3200 NSD Type [ 10, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3200 SD Type [ 10, 16, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^10, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3200 SD Type [ 20, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^20, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 90 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^90 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 6, 90 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^90 ] Regular 4-polytope with group of order 3240 NSD Type [ 3, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 6, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3240 NSD Type [ 6, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3240 SD Type [ 6, 45, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^45 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3240 NSD Type [ 9, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3240 NSD Type [ 10, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3240 NSD Type [ 15, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3240 NSD Type [ 15, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3264 NSD Type [ 3, 4, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 3264 NSD Type [ 3, 6, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 3264 NSD Type [ 3, 8, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 3, 12, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 4, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^51 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 4, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^51 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 4, 102 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^102 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 6, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 6, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 6, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 6, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 12, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 12, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 12, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 34, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 51, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^51 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 68, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^68 ] Regular 4-polytope with group of order 3264 SD Type [ 4, 102, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^102 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 102, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^102 ] Regular 4-polytope with group of order 3264 SD Type [ 4, 102, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3264 NSD Type [ 4, 102, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3264 SD Type [ 4, 102, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^102 ] Regular 4-polytope with group of order 3264 NSD Type [ 6, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 6, 4, 68 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^68 ] Regular 4-polytope with group of order 3264 NSD Type [ 6, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 6, 8, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 6, 34, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 8, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3264 NSD Type [ 12, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3312 NSD Type [ 3, 6, 92 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^92 ] Regular 4-polytope with group of order 3312 NSD Type [ 4, 6, 69 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^69 ] Regular 4-polytope with group of order 3312 NSD Type [ 4, 69, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^69 ] Regular 4-polytope with group of order 3312 NSD Type [ 6, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 3312 NSD Type [ 6, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 3312 NSD Type [ 6, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 3312 NSD Type [ 6, 6, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 3312 SD Type [ 6, 46, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^46 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 4, 104 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 4, 104 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^104 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 8, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 8, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 8, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 8, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 16, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 16, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 26, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 52, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 52, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 52, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^52 ] Regular 4-polytope with group of order 3328 SD Type [ 4, 104, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3328 NSD Type [ 4, 104, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3328 SD Type [ 4, 104, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^104 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 8, 8, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 SD Type [ 8, 26, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 16, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3328 NSD Type [ 16, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3348 NSD Type [ 3, 6, 93 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^93 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 4, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 6, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 6, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 10, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 3, 12, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 6, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 6, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 10, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 14, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 30, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 30, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 42, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 42, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^42 ] Regular 4-polytope with group of order 3360 NSD Type [ 4, 70, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^70 ] Regular 4-polytope with group of order 3360 SD Type [ 4, 105, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^105 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 5, 10, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 4, 70 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^70 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 10, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 14, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^14, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 20, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^14, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3360 SD Type [ 6, 21, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3360 NSD Type [ 6, 28, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 4, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 4, 42 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^42 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 6, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 12, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 10, 14, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 12, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.1 * A.2)^12, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 14, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3360 NSD Type [ 14, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3360 NSD Type [ 14, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 3360 NSD Type [ 14, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3384 NSD Type [ 3, 6, 94 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^94 ] Regular 4-polytope with group of order 3392 NSD Type [ 4, 4, 106 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^106 ] Regular 4-polytope with group of order 3392 SD Type [ 4, 106, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^106 ] Regular 4-polytope with group of order 3400 NSD Type [ 5, 10, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3420 SD Type [ 5, 3, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.2 * A.1)^5, (A.4 * A.3)^5, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 4, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 96 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^96 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 6, 96 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^96 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 SD Type [ 3, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 12, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 3, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 4, 108 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^108 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.1 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.4 * A.3)^9, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.1 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 6, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 8, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 9, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 12, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^12, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 18, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 24, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^18, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 SD Type [ 4, 27, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 27, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 36, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 54, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 54, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 54, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 72, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^72 ] Regular 4-polytope with group of order 3456 SD Type [ 4, 108, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^108 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 108, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 108, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^108 ] Regular 4-polytope with group of order 3456 SD Type [ 4, 108, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 4, 108, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 SD Type [ 4, 108, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^108 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 SD Type [ 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 3, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 4, 72 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^72 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 8, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 9, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^8, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1, A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^12, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 16, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^16, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^16, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 18, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^16, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 24, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 36, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^36 ] Regular 4-polytope with group of order 3456 SD Type [ 6, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3456 SD Type [ 6, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3456 NSD Type [ 6, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 SD Type [ 6, 48, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 4, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.4 * A.3)^9, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 12, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 8, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^12, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 9, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.1)^9, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3456 NSD Type [ 9, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 9, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3456 NSD Type [ 9, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 SD Type [ 12, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^12, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 4, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 8, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 SD Type [ 12, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 12, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 SD Type [ 12, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3456 SD Type [ 12, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^12, (A.2 * A.3)^12, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3456 NSD Type [ 16, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^16, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 16, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^16, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 18, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^18 ] Regular 4-polytope with group of order 3456 NSD Type [ 18, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^18, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3500 NSD Type [ 5, 10, 35 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^35 ] Regular 4-polytope with group of order 3520 NSD Type [ 4, 4, 110 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^110 ] Regular 4-polytope with group of order 3520 NSD Type [ 4, 10, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 3520 NSD Type [ 4, 20, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^20, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3520 NSD Type [ 4, 22, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^20, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 3520 NSD Type [ 4, 44, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^44 ] Regular 4-polytope with group of order 3520 SD Type [ 4, 110, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^110 ] Regular 4-polytope with group of order 3520 NSD Type [ 8, 10, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3520 NSD Type [ 8, 22, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 3520 NSD Type [ 10, 4, 44 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^44 ] Regular 4-polytope with group of order 3520 NSD Type [ 10, 8, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3520 NSD Type [ 20, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^20, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3528 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3528 NSD Type [ 3, 6, 98 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^98 ] Regular 4-polytope with group of order 3528 NSD Type [ 3, 14, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 3528 NSD Type [ 6, 3, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3528 NSD Type [ 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3528 NSD Type [ 6, 14, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3528 NSD Type [ 6, 21, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2)^21 ] Regular 4-polytope with group of order 3528 NSD Type [ 7, 14, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3528 NSD Type [ 14, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3552 NSD Type [ 3, 4, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 3552 NSD Type [ 3, 6, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 3552 NSD Type [ 4, 6, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 3552 NSD Type [ 4, 6, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 3552 NSD Type [ 4, 74, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^74 ] Regular 4-polytope with group of order 3552 SD Type [ 4, 111, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^111 ] Regular 4-polytope with group of order 3552 NSD Type [ 6, 4, 74 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^74 ] Regular 4-polytope with group of order 3564 NSD Type [ 3, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 3564 NSD Type [ 3, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 3564 NSD Type [ 3, 6, 99 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^99 ] Regular 4-polytope with group of order 3564 NSD Type [ 9, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 112 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 4, 112 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^112 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 8, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 14, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 16, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 16, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 16, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 16, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 SD Type [ 4, 28, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 28, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 32, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 32, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 56, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^56 ] Regular 4-polytope with group of order 3584 SD Type [ 4, 112, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 NSD Type [ 4, 112, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3584 SD Type [ 4, 112, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^112 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 4, 56 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^56 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.2 * A.3)^8, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 8, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 14, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^14, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 16, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^14, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3584 SD Type [ 8, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 8, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 SD Type [ 8, 28, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^14, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^14 ] Regular 4-polytope with group of order 3584 NSD Type [ 14, 8, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^14, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3584 NSD Type [ 16, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3584 NSD Type [ 16, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^28 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^12, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 6, 100 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^100 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 3, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 3, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 6, 75 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^75 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 9, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 10, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 10, 45 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.4 * A.3)^45 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 15, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 30, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 45, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^45 ] Regular 4-polytope with group of order 3600 NSD Type [ 4, 75, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^75 ] Regular 4-polytope with group of order 3600 NSD Type [ 5, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 5, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 5, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 5, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 5, 10, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 6, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 10, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^10, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^10, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3600 NSD Type [ 6, 30, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3600 SD Type [ 6, 50, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^50 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3600 NSD Type [ 10, 10, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3600 SD Type [ 10, 18, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^10, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3600 NSD Type [ 12, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.1 * A.2)^12, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3600 NSD Type [ 15, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3648 NSD Type [ 3, 4, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 3648 NSD Type [ 3, 6, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 3648 NSD Type [ 3, 8, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 3, 12, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 4, 57 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^57 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 4, 57 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^57 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 4, 114 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^114 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 6, 57 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 6, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 6, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 6, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 12, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 12, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 12, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 38, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 57, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^57 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 76, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^76 ] Regular 4-polytope with group of order 3648 SD Type [ 4, 114, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^114 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 114, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^114 ] Regular 4-polytope with group of order 3648 SD Type [ 4, 114, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3648 NSD Type [ 4, 114, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3648 SD Type [ 4, 114, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^114 ] Regular 4-polytope with group of order 3648 NSD Type [ 6, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 6, 4, 76 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^76 ] Regular 4-polytope with group of order 3648 NSD Type [ 6, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 6, 8, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 6, 38, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 8, 6, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3648 NSD Type [ 12, 4, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3672 NSD Type [ 3, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3672 NSD Type [ 3, 6, 102 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^102 ] Regular 4-polytope with group of order 3672 NSD Type [ 3, 6, 102 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^102 ] Regular 4-polytope with group of order 3672 NSD Type [ 6, 6, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.3)^51 ] Regular 4-polytope with group of order 3672 NSD Type [ 6, 6, 51 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^51 ] Regular 4-polytope with group of order 3672 SD Type [ 6, 51, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^51 ] Regular 4-polytope with group of order 3672 NSD Type [ 9, 6, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3680 NSD Type [ 4, 10, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 3680 NSD Type [ 4, 46, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^46 ] Regular 4-polytope with group of order 3680 NSD Type [ 10, 4, 46 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^46 ] Regular 4-polytope with group of order 3696 NSD Type [ 6, 14, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^14, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3696 NSD Type [ 6, 22, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^14, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 3696 NSD Type [ 14, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^14, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3712 NSD Type [ 4, 4, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 3712 NSD Type [ 4, 4, 116 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^116 ] Regular 4-polytope with group of order 3712 NSD Type [ 4, 8, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 3712 NSD Type [ 4, 8, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 3712 NSD Type [ 4, 58, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^58 ] Regular 4-polytope with group of order 3712 SD Type [ 4, 116, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^116 ] Regular 4-polytope with group of order 3712 NSD Type [ 8, 4, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 3712 NSD Type [ 8, 4, 58 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^58 ] Regular 4-polytope with group of order 3744 NSD Type [ 3, 4, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 3, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 3, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 3, 6, 104 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^104 ] Regular 4-polytope with group of order 3744 NSD Type [ 3, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 6, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 18, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^18, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 18, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 26, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 39, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^39 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 52, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 78, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 78, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 78, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 78, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 78, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 4, 78, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^78 ] Regular 4-polytope with group of order 3744 SD Type [ 4, 117, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^117 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 4, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 4, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 4, 78 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^78 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 6, 52 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^52 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 12, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 6, 26, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^12, (A.2 * A.3)^26 ] Regular 4-polytope with group of order 3744 SD Type [ 6, 52, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^52 ] Regular 4-polytope with group of order 3744 NSD Type [ 8, 6, 39 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.3)^39 ] Regular 4-polytope with group of order 3744 NSD Type [ 9, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 12, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 12, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 12, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3744 NSD Type [ 18, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^18, (A.3 * A.4)^26 ] Regular 4-polytope with group of order 3776 NSD Type [ 4, 4, 118 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^118 ] Regular 4-polytope with group of order 3776 SD Type [ 4, 118, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^118 ] Regular 4-polytope with group of order 3780 NSD Type [ 3, 6, 105 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^105 ] Regular 4-polytope with group of order 3780 NSD Type [ 15, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.4 * A.3)^21 ] Regular 4-polytope with group of order 3800 NSD Type [ 5, 10, 38 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^38 ] Regular 4-polytope with group of order 3808 NSD Type [ 4, 14, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^14, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3808 NSD Type [ 4, 34, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^14, (A.2 * A.3)^34 ] Regular 4-polytope with group of order 3808 NSD Type [ 14, 4, 34 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^14, (A.3 * A.4)^34 ] Regular 4-polytope with group of order 3816 NSD Type [ 3, 6, 106 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^106 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 4, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 SD Type [ 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 6, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 10, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 12, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 3, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.3)^5, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.3)^5, A.2 * A.3 * A.2 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.3)^5, A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 3, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.1 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.3)^5, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 120 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 4, 120 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^120 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2)^5, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.2)^5, (A.4 * A.3)^5 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.4 * A.3)^5, (A.4 * A.3 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.1 * A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.4 * A.3)^5, (A.4 * A.3 * A.2 * A.3)^3, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2)^5, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.1 * A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.2)^5, A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.2)^5, A.1 * A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.1 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 6, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 8, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3)^10, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.4 * A.3)^5, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.2 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.4 * A.3)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.4 * A.3)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.2 * A.3)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3)^10, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 10, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.4 * A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^12, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^12, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 12, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^12, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 15, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 16, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 16, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^16, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 20, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^20, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^20, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 24, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^20, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 30, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^16, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^12, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 40, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 48, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 48, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 48, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 48, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^48 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 60, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 80, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 80, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^80 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^120 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^120 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 SD Type [ 4, 120, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^120 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 4, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 10, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 5, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.2 * A.3 * A.2 * A.1 * A.2 * A.3)^3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 4, 80 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^80 ] Regular 4-polytope with group of order 3840 SD Type [ 6, 5, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^5, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3 * A.2 * A.3)^3, A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 8, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 10, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^10, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^8, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 16, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^16, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 16, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^16, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 20, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 SD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 SD Type [ 6, 24, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 32, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^10, (A.2 * A.3)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^8, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 6, 40, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 4, 60 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^60 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2 * A.3 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 6, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 8, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3)^15 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^8, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 8, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 10, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 12, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^8, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^12, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 20, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^12, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^10, A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3840 NSD Type [ 8, 24, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^8, (A.3 * A.4)^10, (A.2 * A.3)^24 ] Regular 4-polytope with group of order 3840 SD Type [ 8, 30, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^8, (A.2 * A.3)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 4, 48 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^48 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 6, 32 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.3 * A.4)^32 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^10, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.1 * A.2)^10, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 8, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^10, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 12, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 12, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, (A.1 * A.2)^10, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3840 NSD Type [ 10, 16, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^12, (A.2 * A.3)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.1 * A.2 * A.3 * A.2)^4, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^12, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 4, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^12, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 3840 SD Type [ 12, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 8, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.1 * A.2)^12, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 12, 10, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.1 * A.2)^12, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 15, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 15, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^16 ] Regular 4-polytope with group of order 3840 NSD Type [ 16, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 16, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^16, (A.3 * A.4)^30 ] Regular 4-polytope with group of order 3840 NSD Type [ 16, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^16, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 20, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.1 * A.2)^20 ] Regular 4-polytope with group of order 3840 NSD Type [ 20, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^20, (A.3 * A.4)^24 ] Regular 4-polytope with group of order 3872 NSD Type [ 4, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3872 NSD Type [ 4, 22, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.2 * A.3)^22 ] Regular 4-polytope with group of order 3872 NSD Type [ 4, 22, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^22, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3872 NSD Type [ 4, 22, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3872 NSD Type [ 8, 22, 11 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.4 * A.3)^11 ] Regular 4-polytope with group of order 3872 SD Type [ 22, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^22, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2, A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^12, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 108 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^108 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 6, 108 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^108 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 3, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 3, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 3, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 6, 81 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.3)^81 ] Regular 4-polytope with group of order 3888 SD Type [ 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.3 * A.2 * A.1 * A.2 * A.3)^3, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.2)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 9, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.2)^9, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.2 * A.1 * A.2)^3, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^6, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2^2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.4 * A.3)^9, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.2 * A.3 * A.2 * A.3 * A.4)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.3)^9, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^9, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3)^3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 18, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 27, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 27, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 27, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 27, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.2)^27 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 4, 81, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^81 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9, A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.4 * A.3)^9 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3 * A.2 * A.3)^3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 4, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^6 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 6, 54 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3)^4, (A.3 * A.2)^9, (A.3 * A.4 * A.3 * A.2 * A.3 * A.4)^3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 9, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.2)^9, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 12, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 18, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 36, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 6, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3888 SD Type [ 6, 54, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.2 * A.3)^54 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.2 * A.1)^9, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 6, 36 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^9, (A.3 * A.4)^36 ] Regular 4-polytope with group of order 3888 NSD Type [ 9, 18, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^9, (A.3 * A.4)^12 ] Regular 4-polytope with group of order 3888 NSD Type [ 12, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^12, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3888 NSD Type [ 12, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^12, (A.4 * A.3)^27 ] Regular 4-polytope with group of order 3888 SD Type [ 18, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.1 * A.2)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 NSD Type [ 18, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3888 SD Type [ 18, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.1 * A.2)^18, (A.3 * A.4)^18 ] Regular 4-polytope with group of order 3904 NSD Type [ 4, 4, 122 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^122 ] Regular 4-polytope with group of order 3904 SD Type [ 4, 122, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^122 ] Regular 4-polytope with group of order 3920 NSD Type [ 4, 14, 35 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^14, (A.4 * A.3)^35 ] Regular 4-polytope with group of order 3920 NSD Type [ 7, 14, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.1)^7, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 3920 NSD Type [ 10, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 4-polytope with group of order 3920 NSD Type [ 10, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^14 ] Regular 4-polytope with group of order 3920 NSD Type [ 10, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3920 NSD Type [ 10, 14, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3920 SD Type [ 14, 10, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.1 * A.2)^14, (A.3 * A.4)^14 ] Regular 4-polytope with group of order 3936 NSD Type [ 3, 4, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 3936 NSD Type [ 3, 6, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 3936 NSD Type [ 4, 6, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 3936 NSD Type [ 4, 6, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 3936 NSD Type [ 4, 82, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.2 * A.3)^82 ] Regular 4-polytope with group of order 3936 SD Type [ 4, 123, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.3 * A.2)^123 ] Regular 4-polytope with group of order 3936 NSD Type [ 6, 4, 82 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^82 ] Regular 4-polytope with group of order 3960 NSD Type [ 3, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.4 * A.3)^5 ] Regular 4-polytope with group of order 3960 NSD Type [ 3, 6, 110 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^110 ] Regular 4-polytope with group of order 3960 NSD Type [ 3, 10, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 ] Regular 4-polytope with group of order 3960 NSD Type [ 10, 6, 33 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.1 * A.2)^10, (A.4 * A.3)^33 ] Regular 4-polytope with group of order 3960 NSD Type [ 15, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.1)^15, (A.3 * A.4)^22 ] Regular 4-polytope with group of order 3968 NSD Type [ 4, 4, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 3968 NSD Type [ 4, 4, 124 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^124 ] Regular 4-polytope with group of order 3968 NSD Type [ 4, 8, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 3968 NSD Type [ 4, 8, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^8, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 3968 NSD Type [ 4, 62, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.2 * A.3)^62 ] Regular 4-polytope with group of order 3968 SD Type [ 4, 124, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^124 ] Regular 4-polytope with group of order 3968 NSD Type [ 8, 4, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 3968 NSD Type [ 8, 4, 62 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^8, (A.3 * A.4)^62 ] Regular 4-polytope with group of order 3996 NSD Type [ 3, 6, 111 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^111 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.3 * A.4)^10, A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 10, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^10, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^10, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4)^10, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 50, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^50 ] Regular 4-polytope with group of order 4000 NSD Type [ 4, 50, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^10, (A.2 * A.3)^50 ] Regular 4-polytope with group of order 4000 NSD Type [ 5, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 4-polytope with group of order 4000 NSD Type [ 5, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 ] Regular 4-polytope with group of order 4000 NSD Type [ 5, 10, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 4000 NSD Type [ 5, 10, 40 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^40 ] Regular 4-polytope with group of order 4000 NSD Type [ 8, 10, 25 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^8, (A.2 * A.3)^10, (A.4 * A.3)^25 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2)^10, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 4, 50 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^50 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^10, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^10, (A.2 * A.3)^10, (A.3 * A.4)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 10, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3)^10 ] Regular 4-polytope with group of order 4000 SD Type [ 10, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^10, (A.3 * A.4)^10, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 4000 NSD Type [ 10, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Regular 4-polytope with group of order 4000 SD Type [ 10, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^10, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3)^2, (A.2 * A.3)^20 ] Regular 4-polytope with group of order 4000 SD Type [ 10, 20, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^10, (A.3 * A.4)^10 ] Minimum order for self-dual regular 4-polytopes = 96 Minimum order for non-self-dual regular 4-polytopes = 144 Rank 5 ...... Regular 5-polytope with group of order 432 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 512 SD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4 ] Regular 5-polytope with group of order 576 SD Type [ 3, 4, 4, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 576 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 576 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 648 NSD Type [ 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 648 SD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 720 SD Type [ 3, 3, 3, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.5 * A.4)^3 ] Regular 5-polytope with group of order 768 NSD Type [ 3, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 768 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4 ] Regular 5-polytope with group of order 768 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 768 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 768 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 768 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 768 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 768 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 768 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 864 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 960 NSD Type [ 3, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1024 SD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1024 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1152 SD Type [ 3, 4, 4, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1152 SD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1152 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 1152 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 1152 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1152 SD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1280 NSD Type [ 4, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1280 NSD Type [ 4, 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1296 NSD Type [ 3, 6, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 1296 NSD Type [ 4, 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 1296 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1296 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1440 NSD Type [ 3, 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.3)^3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1440 NSD Type [ 3, 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.5 * A.4)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1440 NSD Type [ 3, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1440 NSD Type [ 3, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1440 NSD Type [ 3, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1440 NSD Type [ 4, 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 SD Type [ 4, 3, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.5 * A.4 * A.3 * A.2 * A.5 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.2^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 1536 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 1536 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6 ] Regular 5-polytope with group of order 1536 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1600 NSD Type [ 4, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 8, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.2^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 4, 6, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 1728 NSD Type [ 6, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 6, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1728 NSD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1728 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 1728 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1728 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1792 NSD Type [ 4, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 1792 NSD Type [ 4, 4, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 1800 NSD Type [ 3, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 3, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.2 * A.3 * A.5 * A.4 * A.2 * A.5 * A.1 * A.2 * A.3 * A.4 * A.5 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.5 * A.2 * A.4 * A.5 * A.1 * A.3 * A.4 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 3, 10, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.2^2 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 4, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 1920 NSD Type [ 6, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.2 * A.4 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.2 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 1944 SD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 1944 SD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 1944 NSD Type [ 3, 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 1944 NSD Type [ 6, 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2016 NSD Type [ 3, 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2016 NSD Type [ 3, 6, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 2016 NSD Type [ 4, 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 SD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 SD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.2^2 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.3 * A.2 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.4 * A.5 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.5 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.4, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.2 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2048 SD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 2048 SD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2048 SD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2048 SD Type [ 4, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2048 SD Type [ 8, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2048 NSD Type [ 8, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2048 SD Type [ 8, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 10, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2160 NSD Type [ 3, 6, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.4 * A.3)^15 ] Regular 5-polytope with group of order 2160 NSD Type [ 4, 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 2160 NSD Type [ 6, 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 3, 4, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.5 * A.4)^3, (A.3 * A.4)^4, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.4 * A.2 * A.5 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.5 * A.4 * A.2 * A.1 * A.3 * A.4 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 8, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1 * A.2^2 * A.1 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 8, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 8, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.2 * A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6, A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2304 SD Type [ 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.2^2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 4, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^6, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 SD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 SD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 2304 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 2400 NSD Type [ 3, 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2400 NSD Type [ 3, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5 ] Regular 5-polytope with group of order 2400 NSD Type [ 3, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2400 NSD Type [ 4, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 2400 NSD Type [ 4, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 2400 NSD Type [ 5, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 8, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 8, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 4, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 8, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2560 NSD Type [ 8, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.2 * A.4, A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.2^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.4 * A.5)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.2 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 9, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.3 * A.2)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 4, 9, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.3 * A.2)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2592 SD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 SD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 SD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 SD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2592 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2688 NSD Type [ 3, 3, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 3, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 3, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 3, 4, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 3, 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 3, 6, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 3, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 4, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 4, 14, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 6, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 6, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 6, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 4, 14, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^14 ] Regular 5-polytope with group of order 2688 NSD Type [ 6, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 2816 NSD Type [ 4, 4, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^22 ] Regular 5-polytope with group of order 2816 NSD Type [ 4, 4, 22, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^22 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 10, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 2880 SD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 10, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 6, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 10, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 NSD Type [ 3, 10, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 3, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.4 * A.5)^6, A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 3, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.5 * A.4)^5, (A.2 * A.3)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, (A.2 * A.3)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.5 * A.4)^5, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.5 * A.4)^5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.5 * A.4)^5, (A.2 * A.3)^6, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.2 * A.3)^6, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 6, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.4 * A.3)^15 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 4, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 5, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, (A.4 * A.5)^6, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 NSD Type [ 5, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^6, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 2880 NSD Type [ 5, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 NSD Type [ 5, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, (A.4 * A.5)^6, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 2880 SD Type [ 6, 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 2880 NSD Type [ 6, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3024 NSD Type [ 3, 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3024 NSD Type [ 3, 6, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3024 NSD Type [ 3, 6, 14, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 3024 NSD Type [ 3, 6, 21, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.4 * A.3)^21 ] Regular 5-polytope with group of order 3024 NSD Type [ 4, 3, 6, 21 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^21 ] Regular 5-polytope with group of order 3024 NSD Type [ 6, 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 3, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.1 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 4, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 8, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 3, 12, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.1 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, A.3 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3, A.3 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.1^2 * A.2 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 3, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.3 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.5 * A.2 * A.1^2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.5 * A.2 * A.3 * A.4 * A.5 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^24 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.2 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.2 * A.5 * A.4 * A.3 * A.2 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.5 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^6, A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^8, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^8, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5, A.3 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.1^2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.5 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^24 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 4, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^24 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.4 * A.5 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.2 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.2 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.3)^6, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2^2 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 6, 16, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, (A.1 * A.2 * A.3 * A.2)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^8, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6, (A.2 * A.3)^8, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^6, A.3 * A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^8, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.2 * A.3)^8, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 8, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^8, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 12, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 16, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 16, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.1 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 16, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1^2 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 4, 16, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 3, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 4, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.4 * A.5 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 4, 8, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 6, 8, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 8, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 8, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^8, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3072 NSD Type [ 8, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.1 * A.2)^8, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3072 NSD Type [ 8, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3136 NSD Type [ 4, 4, 14, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^7 ] Regular 5-polytope with group of order 3168 NSD Type [ 3, 6, 4, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^22 ] Regular 5-polytope with group of order 3168 NSD Type [ 3, 6, 22, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^22 ] Regular 5-polytope with group of order 3168 NSD Type [ 4, 3, 6, 22 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^22 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^10, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^10, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^10, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 8, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 8, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^10, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3200 NSD Type [ 4, 10, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3200 SD Type [ 4, 10, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^10, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3200 NSD Type [ 5, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3200 NSD Type [ 5, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3200 SD Type [ 10, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^10, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3240 NSD Type [ 3, 6, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 3240 NSD Type [ 3, 6, 15, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^15 ] Regular 5-polytope with group of order 3240 NSD Type [ 6, 3, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 3328 NSD Type [ 4, 4, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^26 ] Regular 5-polytope with group of order 3328 NSD Type [ 4, 4, 26, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^26 ] Regular 5-polytope with group of order 3360 NSD Type [ 3, 3, 6, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 3, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.2 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.5 * A.4 * A.3 * A.2 * A.4 * A.5 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.2 * A.4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 4, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^8, A.3 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2^2 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4, A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 4, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.4 * A.3 * A.5 * A.4 * A.3 * A.2 * A.4 * A.5 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.2 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^8, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^8, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^8, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 8, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^8, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.2 * A.4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 12, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^8, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 16, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^16 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 6, 24, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 8, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 8, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 3, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^8, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 6, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^24 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.1^2 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 3, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.5 * A.2 * A.3 * A.4 * A.5 * A.2 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2^2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2^2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.5)^6, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 4, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.4 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 3, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2^2 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.5 * A.4 * A.3)^2, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.2 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3456 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 SD Type [ 4, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4)^4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.4 * A.5)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3)^4 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 6, 18, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 8, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 9, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.3 * A.2)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 9, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8, (A.3 * A.2)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4, A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 12, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 18, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6, (A.2 * A.3)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 4, 18, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 3, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 3, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.1 * A.2)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 4, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 4, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^6, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 3, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3456 SD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 6, 6, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.4 * A.5)^6, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3456 NSD Type [ 8, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.1 * A.2)^8, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3456 NSD Type [ 8, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3528 NSD Type [ 3, 6, 14, 7 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^7 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 4, 28 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^28 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 8, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^8, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 14, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 4, 28, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^28 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 8, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^8, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 8, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 8, 14, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^8, (A.3 * A.4)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 14, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.2 * A.3)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 4, 14, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 8, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3584 NSD Type [ 8, 4, 4, 14 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^8, (A.4 * A.5)^14 ] Regular 5-polytope with group of order 3600 NSD Type [ 3, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3600 NSD Type [ 3, 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3600 NSD Type [ 3, 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^10, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3600 NSD Type [ 3, 6, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^10, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3600 NSD Type [ 5, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3600 NSD Type [ 5, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3600 NSD Type [ 5, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3600 NSD Type [ 5, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3744 NSD Type [ 3, 6, 4, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^26 ] Regular 5-polytope with group of order 3744 NSD Type [ 3, 6, 26, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^26 ] Regular 5-polytope with group of order 3744 NSD Type [ 4, 3, 6, 26 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^26 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 3, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.4 * A.5)^4 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.3 * A.5 * A.1 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.3 * A.5 * A.1 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 3, 6, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^16 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.4 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 4, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.5 * A.1 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1 * A.2 * A.1 * A.3 * A.4 * A.3 * A.2 * A.1 * A.3 * A.5 * A.4 * A.2 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.5 * A.1 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.3 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 6, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 8, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 10, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 10, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 10, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 10, 8, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 12, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 12, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 3, 12, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.1 * A.2)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.2 * A.3 * A.5 * A.1 * A.2 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 3, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.4 * A.3)^3, (A.1 * A.2)^4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.2 * A.3 * A.5 * A.1 * A.2 * A.4 * A.5 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.5 * A.4 * A.3 * A.5 * A.2 * A.1 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 3, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 3, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.1, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 3, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.4 * A.5)^6, A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.2 * A.3 * A.4 * A.1^2 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 * A.2 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.2 * A.4 * A.5 * A.4 * A.5 * A.3 * A.4 * A.5 * A.1^2 * A.4 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.5 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.5 * A.4)^15 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 4, 30 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^30 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.4 * A.3 * A.5 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.2 * A.3 * A.4 * A.1^2 * A.5 * A.4 * A.5 * A.4 * A.3 * A.2 * A.4 * A.5 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 15 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 6, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.4 * A.3 * A.5 * A.4 * A.5 * A.2 * A.3 * A.4 * A.5 * A.4 * A.1^2 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.3 * A.4 * A.2 * A.1^2 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.2 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 10, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^10, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 12, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^10, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^15 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 15, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3)^4, (A.4 * A.5)^4, A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.3)^15 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 20, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.3 * A.4)^30 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 4, 30, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.3 * A.4)^30 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.1 * A.2 * A.3 * A.4 * A.3 * A.2)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, A.4 * A.3 * A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 6, 20, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^6, (A.3 * A.4)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 4, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.4)^5, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.2 * A.3)^8, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 6, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.2 * A.3)^8, A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.2 * A.3)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.4)^5, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.4)^5, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, (A.2 * A.3)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 8, 10, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^10, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.4 * A.5)^8, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 8, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.3 * A.4)^8, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 SD Type [ 4, 10, 10, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.4 * A.5)^4, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 10, 12, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.2 * A.3)^10, (A.3 * A.4)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 12, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 12, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.4 * A.5)^10, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 12, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^10, (A.2 * A.3)^12 ] Regular 5-polytope with group of order 3840 NSD Type [ 4, 20, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, (A.2 * A.3)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.1)^5, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 4, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.1)^5, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2 * A.3 * A.2 * A.3 * A.2)^2, A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 6, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.1)^5, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.2 * A.3)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 5, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.1)^5, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.3 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 3, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.2 * A.4 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 3, 6, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^8 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.3, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 4, 20 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^20 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.3 * A.4)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 8, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 4, 10, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^8, (A.3 * A.4)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.1 * A.2)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 8, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.2 * A.3)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^6, (A.4 * A.5)^8, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 6, 10, 4, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 8, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.3 * A.4)^6, (A.1 * A.2)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 8, 4, 6, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 8, 6, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.1 * A.2)^8, (A.4 * A.5)^10 ] Regular 5-polytope with group of order 3840 NSD Type [ 10, 4, 4, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.1 * A.2)^10, (A.4 * A.5)^12 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.5 * A.4)^3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.2 * A.3)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, A.1 * A.2 * A.4 * A.3 * A.1 * A.2 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4)^4, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3, (A.5 * A.4 * A.3 * A.4)^3, A.4 * A.5 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.2 * A.3)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, A.4 * A.5 * A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.5 * A.4 * A.3 * A.2 * A.3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6, A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.5)^6, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.5)^6, A.4 * A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 * A.2 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.5 * A.3 * A.4 * A.1 * A.2 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.3 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3 * A.4 * A.3 * A.4 * A.3)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 9, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.2 * A.3)^6, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 * A.4 * A.5, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4, (A.4 * A.5)^6, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 12, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4, A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 18, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.5)^6, (A.3 * A.4)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 3, 6, 27, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.1)^3, (A.4 * A.5)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5, (A.4 * A.3)^27 ] Regular 5-polytope with group of order 3888 NSD Type [ 4, 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 4, 3, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 4, 3, 6, 27 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^27 ] Regular 5-polytope with group of order 3888 NSD Type [ 4, 9, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.3 * A.2)^9, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6, A.3 * A.4 * A.2 * A.3 * A.4 * A.5 * A.4 * A.3 * A.2 * A.5 * A.4 * A.3 * A.4 * A.5 * A.4 * A.5 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.3 * A.4 * A.5 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.1 * A.2)^6, (A.4 * A.5)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.4 * A.5)^6, A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (A.3 * A.4)^6, (A.4 * A.5)^6, A.2 * A.3 * A.2 * A.4 * A.3 * A.4 * A.2 * A.3 * A.1 * A.2 * A.1^2 * A.4 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.1 * A.3 * A.4 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 3, 6, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.3 * A.2)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^18 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 4, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2, (A.3 * A.4)^6, A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, (A.1 * A.2)^6, (A.3 * A.4)^6, (A.4 * A.5)^6 ] Regular 5-polytope with group of order 3888 SD Type [ 6, 6, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.2 * A.3)^6, (A.3 * A.4)^6 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4)^6, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 6, 9 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.2 * A.3 * A.4 * A.3 * A.2 * A.3)^2, (A.5 * A.4)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.2 * A.3)^6, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 3888 NSD Type [ 6, 6, 9, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.3 * A.4 * A.5 * A.4 * A.3 * A.4)^2, (A.4 * A.3)^9 ] Regular 5-polytope with group of order 4000 NSD Type [ 4, 10, 5, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.4 * A.3)^5, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 5-polytope with group of order 4000 NSD Type [ 4, 10, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 4000 NSD Type [ 4, 10, 10, 5 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.5 * A.4)^5, (A.2 * A.3)^10 ] Regular 5-polytope with group of order 4000 NSD Type [ 5, 10, 4, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.2 * A.1)^5, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^10 ] Minimum order for self-dual regular 5-polytopes = 512 Minimum order for non-self-dual regular 5-polytopes = 432 Rank 6 ...... Regular 6-polytope with group of order 1728 SD Type [ 4, 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.5 * A.4)^3, (A.1 * A.2)^4, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 ] Regular 6-polytope with group of order 1944 SD Type [ 3, 6, 3, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.6 * A.5)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5 ] Regular 6-polytope with group of order 2048 SD Type [ 4, 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4 ] Regular 6-polytope with group of order 2304 NSD Type [ 3, 4, 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.5 * A.6)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 ] Regular 6-polytope with group of order 2304 NSD Type [ 3, 6, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 ] Regular 6-polytope with group of order 2304 NSD Type [ 4, 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3 ] Regular 6-polytope with group of order 2592 NSD Type [ 3, 6, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 6-polytope with group of order 2592 SD Type [ 3, 6, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5 ] Regular 6-polytope with group of order 2592 NSD Type [ 3, 6, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 ] Regular 6-polytope with group of order 2592 NSD Type [ 4, 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.5 * A.4)^3, (A.1 * A.2)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.6 * A.4 * A.5 * A.6 * A.5 * A.4 * A.6 * A.5 * A.6 * A.5 ] Regular 6-polytope with group of order 3072 NSD Type [ 3, 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 6-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4 ] Regular 6-polytope with group of order 3072 NSD Type [ 3, 4, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 6-polytope with group of order 3072 NSD Type [ 3, 6, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 6-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 ] Regular 6-polytope with group of order 3072 NSD Type [ 4, 3, 4, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4)^4, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4, A.5 * A.3 * A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 * A.4 ] Regular 6-polytope with group of order 3072 NSD Type [ 4, 4, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^6 ] Regular 6-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.5 * A.6)^4, A.4 * A.5 * A.6 * A.5 * A.4 * A.5 * A.6 * A.5 * A.6, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3072 NSD Type [ 4, 4, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3072 SD Type [ 4, 4, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, (A.3 * A.4)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 3, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.6 * A.5)^3, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5, A.2 * A.3 * A.4 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.4 * A.3 * A.2 * A.1 * A.4 * A.3 * A.4 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 4, 4, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.5 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.6 * A.4 * A.5 * A.6 * A.5 * A.4 * A.6 * A.5 * A.6 * A.5 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 4, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 4, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, (A.2 * A.3)^4, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 4, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.6)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5, A.6 * A.4 * A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 * A.5 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 3, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 4, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 4, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.5 * A.6)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 4, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6, (A.4 * A.5 * A.6 * A.5 * A.4 * A.5)^2 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.5 * A.6 * A.5 * A.4 * A.5 * A.6 * A.5 * A.6, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 4, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.5 * A.6)^4, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, (A.3 * A.4)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 3, 6, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, (A.3 * A.4)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 3, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.5 * A.4)^3, (A.1 * A.2)^4, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 4, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.5 * A.6)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.3 * A.4 * A.5 * A.4)^2, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.4 * A.5 * A.6 * A.5 * A.4 * A.5 * A.6 * A.5 * A.6, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.5 * A.6 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 3, 6, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.1 * A.2)^4, (A.5 * A.6)^4, A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.4 * A.5 * A.6 * A.5 * A.4 * A.5 * A.6 * A.5 * A.6, (A.4 * A.5)^6 ] Regular 6-polytope with group of order 3456 NSD Type [ 4, 4, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.5 * A.4)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^4, (A.2 * A.3 * A.4 * A.3)^2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.6 * A.4 * A.5 * A.6 * A.5 * A.4 * A.6 * A.5 * A.6 * A.5 ] Regular 6-polytope with group of order 3456 SD Type [ 4, 6, 3, 6, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.4 * A.3)^3, (A.1 * A.2)^4, (A.1 * A.2 * A.3 * A.2)^2, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4 ] Regular 6-polytope with group of order 3840 NSD Type [ 3, 3, 6, 4, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.3 * A.2)^3, (A.3 * A.4 * A.5 * A.4)^2, (A.4 * A.5)^4, (A.4 * A.5 * A.6 * A.5)^2, (A.5 * A.6)^4, A.4 * A.2 * A.3 * A.4 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.4 * A.3 ] Regular 6-polytope with group of order 3888 NSD Type [ 3, 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5, (A.5 * A.6)^6 ] Regular 6-polytope with group of order 3888 NSD Type [ 3, 6, 3, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.4 * A.3)^3, (A.4 * A.5 * A.6 * A.5)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, (A.5 * A.6)^6 ] Regular 6-polytope with group of order 3888 NSD Type [ 3, 6, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.5 * A.4)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.6 * A.4 * A.5 * A.6 * A.5 * A.4 * A.6 * A.5 * A.6 * A.5 ] Regular 6-polytope with group of order 3888 NSD Type [ 3, 6, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, (A.2 * A.3 * A.4 * A.3)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 6-polytope with group of order 3888 SD Type [ 3, 6, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.4 * A.2 * A.3 * A.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3, A.5 * A.3 * A.4 * A.5 * A.4 * A.3 * A.5 * A.4 * A.5 * A.4, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 6-polytope with group of order 3888 SD Type [ 3, 6, 6, 6, 3 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.2 * A.1)^3, (A.6 * A.5)^3, (A.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4 * A.5 * A.4)^2, A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2, A.6 * A.4 * A.5 * A.4 * A.5 * A.4 * A.6 * A.5 * A.4 * A.5, (A.3 * A.4)^6 ] Regular 6-polytope with group of order 3888 SD Type [ 6, 3, 6, 3, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, A.6^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.5)^2, (A.2 * A.5)^2, (A.3 * A.5)^2, (A.1 * A.6)^2, (A.2 * A.6)^2, (A.3 * A.6)^2, (A.4 * A.6)^2, (A.3 * A.2)^3, (A.5 * A.4)^3, A.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, A.4 * A.2 * A.3 * A.4 * A.3 * A.2 * A.4 * A.3 * A.4 * A.3, A.5 * A.3 * A.4 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.4, A.6 * A.4 * A.5 * A.6 * A.5 * A.4 * A.6 * A.5 * A.6 * A.5 ] Minimum order for self-dual regular 6-polytopes = 1728 Minimum order for non-self-dual regular 6-polytopes = 2304 Rank 7 or more .............. None ..............